...ngs and its properties 2.1 Definition and examples 21 2.2 Special elements in rings 24 2.3 Substructures of a ring 26 2.4 Homomorph... .... and S. D.C.C. 67 3.8 Some special types of rings 68 3.9 Special elements in S-rings 71 3.10 Special properties about S-rings 78 ... ... 115 4.2 Smarandache rings of level II 119 4.3 Some new Smarandache elements and their properties 121 4.4 New Smarandache substructures and th... ... a -1 a = aa -1 = e. A group, which contains only a finite number of elements, is called a finite group, otherwise it is termed as an infinite ... ...s an infinite group. By the order of a finite group we mean the number of elements in the group. 8 It may happen that a group G consists enti... ..., fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, five Ph.D. scholars ...

... to make full agricultural use of our farmland. We can‘t afford the petro-chemicals to supplement our human and bovine manure. The global warming in... ...olerance. Here the practitioner is able to see everyone and everything as elements of the Universal. And, of course, if you see all clearly, you will... ...e provided free monthly. We don‘t give a stipend for those who choose the chemical approach to sterility. For those who want the surgical sterilizat...

...dresses the very real problems that are forcing change, while preserving the elements we hold most dear. The Rise and Stall of the Generative Net 9 T... ...ers expansion, which is followed by boundary, one that grows out of the very elements that make that layer appeal- ing. The Internet flourished by begi... ...ged in a “juvenile act” that was “selfish and inconsiderate.” 18 It re- buked elements of the media that had branded Morris a hero for exposing securi... ...d and varied audiences. Terms like “openness” and “free” and “commons” evoke elements of it, but they do not fully capture its meaning, and they somet... ...’s chemistry set, adaptable and exceptionally leverag- ing. It would contain chemicals that could accomplish a variety of tasks, with small quantities... ...ow to use it. But such genera- tivity would have a manifest downside risk: a chemical accident could be dan- gerous to the child or even to the entire... ...l-All program, which would outfit cell phones with sensors for biological and chemical weapons and report “hits” to a central database. See Mimi Hall, ...

...n P by declaring a ∗ b = c if σ (a, b) = c. DEFINITION: A non empty set of elements G is said to form a groupoid if in G is defined a binary oper... ...all a ∈ G. We call the order of the groupoid G to be the number of distinct elements in it denoted by o(G) or |G|. If the number of elements in G ... ...order of this groupoid is 5. Example 1.2.2: Let (S, ∗) be a groupoid with 3 elements given by the following table: ∗ x 1 x 2 x 3 x 1 x 1 x... ... commutative semigroup. DEFINITION: Let S be a semigroup, if the number of elements in a semigroup is finite we say the semigroup S is of finite ... ...= {0, 1}} is a semigroup under matrix multiplication. PROBLEM 9: How many elements are there in S 3×3 given in example 1.3.6.? PROBLEM 10: Ca... ...eory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, five Ph.D. schola...

...hly organized under King Akhenaton. 11 It was later blended with religious elements from ancient Palestine of about the same era, as well as with orga... ...aning of the teaching of karma which appears to have been one of the basic elements in original Buddhist thought. It has posed many difficulties for l... ... question: It is not impossible that here, as in many other cases, certain elements of the training have been borrowed from the autochthonous Bonpos o... ...processes are at work in forming dreams, from hallucinations brought on by chemicals, hallucinations associated with mental disease, and visions/appar... ...n there was exposure of the deceased body on a raised platform open to the elements, and often there was direct earth interment with no coffin. This i... ...way Jung made the same point: [The] whole psychic organism…still preserves elements that connect it with the invertebrates and ultimately with the pro... ...th the same concept as computer technology, the pres- ence or absence of a chemical stimulus being taken as the method by which the nervous system, an...

...it became obvious that we will never all agree because there are too many elements which are variable. What we can understand, however, is that we ea... ... disprove it in the future. Is it possible that there is an electrical or chemical reason for some people to think that they have had a mystical expe... ...d, when will the meek inherit the earth? Certainly nuclear, biological or chemical warfare are all in God‘s plan. If not, God won‘t allow it. ... ...that thing. So there is an ideal of dog, but no dog has all of the 63 elements of the perfect dog. Anselm said that we can conceive a being that ... ...ssential to keep Nature humming. ―In Islam, Sufism has pantheistic elements in its beliefs. It was probably influenced by Indian and Persian ... ... possibility for immigration, the role of religion, and a number of other elements of existing and proposed societies. ―We are talking her... ... verifiable to measure the speed of a falling object in physics or test a chemical reaction in chemistry than it is to determine the causes of violen... ...nating two thirds of the population of the world by nuclear, biological or chemical warfare. I hate to see it, but it is more likely than expecting p... ...h others how to make bombs or how to destroy cities through biological or chemical means. I don‘t want people of any race or religion enflaming othe...

...he space−time. 4.The fundamental law governing spatio-temporality and its elements is the permanent and stochastic motion. 5.The stochastic* (Brown... ...he brlliant anticipations of Martin Heidegger, religion has more and more elements characteristic of a scientific discipline; the real problem that ... ...eality, being able to communicate with ″living″ (materially split-in-two) elements, to the extent of their being affectively apt to this process. In ... ... although its material component already undergoes the natural process of chemical decomposition. The ghosts′ stay for a longer while within the mat... ...ing of the universal rationality) the supposed perfection. The disturbing elements are not the expression of the divine will, but the consequence of... ...ainment, upon the natural conclusion of the material life, the body being chemically decomposed and the soul being dissociated into the constituent ... ...as entertainment, beyond this level being in jeopardy to become dangerous elements of mystification and interested manipulation of reality. Assuming... ...ined by the appearance and disappearance of sensations. Genetic birth and chemical decomposition of the body are elements defining very clearly the ... ...ng the dissociation of the soul from the body, on the onset of the body′s chemical decomposition and on of the soul′s monadic dissociation. It means...

...n to our world, where they split into various phenomena we call physical, chemical, biological and mental phenomena. There is, in fact, only one incl... ... the phenomena of our world, the spiritual and physical, to four distinct elements, that affect our development. The first element – the “bed” – is ... ...ent determine the final outcome, provided it is affected only by internal elements. However, Baal HaSulam maintains, that there are also two external... ...lements. However, Baal HaSulam maintains, that there are also two external elements of evolution. There are external conditions that affect me, deter... ... the universe. All these rules affect me as well, meaning there are inner elements that do not change, that are predefined, and then there is a thir... ...it affects me as well. I cannot change my predefined internal and external elements. I am also incapable of changing external conditions that change ...

...s are media & technologically neutral, Adopt standardized & simplified common data elements & formats Percentage of import declarations lod... ...e utilizing a single-window system and adopting standardized and simplified common data elements. These other actions and measures remain highly ... ...rtaken measures such as introducing electronic data interface (EDI) or harmonizing data elements between two systems. The review of the Collectiv... ...CP 2010). However, the review concluded that the goal of producing Harmonized APEC data elements still required further work. v. Overall assessmen... ... put single windows systems in place, and standardized and simplified their common data elements (SCCP 2010). By 2007 most APEC economies had ful... ... guidance documents. g) Align domestic hazard classification and labeling schemes for chemicals to the Globally Harmonized System (GHS). h) Sign ...

... Revisited": "It is conceivable, though, that a third, unrelated problem causes chemical imbalances in the brain, metabolic diseases such as dia... ... (political parties, countries, races, his workplace) as a compound of good and bad elements. He is an "all or nothing" primitive "machine" (a comm... ...science and a belief in their immunity to the consequences of their actions. These elements and the child's feelings regarding its parents (whom it... ...self-esteem is endangered. Sometimes this can be rectified by his mastery of other elements; particularly if they contribute a steady flow of narci... ...sion of the experience. If a psychological process lacks the evaluative or analytic elements, this lack does not question its existence or its natur... ...her unrealistic (fantastic) view of the other is faintly narcissistic. It includes elements of idealised over-valuation, of self- preoccupation, and... ...e of all branches of human knowledge. No one has ever seen a quark, or untangled a chemical bond, or surfed an electromagnetic wave, or visited the...

...3 2 1 Clearly µ is a fuzzy subgroup of a group G and o(µ ) = number of elements of the set {x ∈ G | µ (x) = µ (e)} = number of elements of the se... ... [0, min{µ 1 (e 1 ), µ 2 (e 2 )}] where e 1 and e 2 denote the identity elements of the groups G 1 and G 2 respectively. Then t 1 t 2 t 1 2 G G... ...R µ , the ring of fuzzy cosets of µ in R is free from non-zero nilpotent elements. THEOREM 1.4.23: Let µ be any fuzzy ideal of a ring R such that... ... that Im µ = {t, s} with t > s. If the ring R µ has no non-zero nilpotent elements, then the fuzzy ideal µ is fuzzy semiprime. THEOREM [99]: A ri... ... If P : R → L is a prime fuzzy ideal and P P (0) ≠ 0, then P (R) has two elements. P is properly fuzzy if and only if P(R) has three elements. We s... ...Rings and Ideals, Addison-Wesley, Reading, MA, 1970. 30. CHAUVIN, Remi, Chemical Algebra I: Fuzzy subgroups, J. Math. Chemistry, 16, 245-256 (1994... ..., fuzzy groups, and applications of fuzzy theory to the problems faced in chemical industries and cement industries. Currently, six Ph.D. scholars a...

...e result of the realpolitik of terrorism is the collaboration with the less savoury elements of society. Relegated to the fringes by the inexorable... ...tamboliyski tried to appease Yugoslavia and, in the process, sacrifice inconvenient elements, such as the IMRO, as expediently as he could. He made ... ...e that at least several hundred thousand people have been killed. The irresponsible elements have committed such atrocities that could be expected o... ... dubious sources). The situation was further compounded by the invasion of criminal elements from Albania proper. The Kosovar crime clans were effec... ...he psychological makeup of the nation (especially the more rightwing and religious elements) because it constitutes "Narcissistic Supply". Bin Lad... ...e of all branches of human knowledge. No one has ever seen a quark, or untangled a chemical bond, or surfed an electromagnetic wave, or visited th...

...he Spartans of ancient Greece exposing their babies on the hill letting the elements determine which were the strong and which should 12 die, or ... ...t have any rights if society doesn’t spell them out and enforce them. Many elements in society are doing a great deal to protect what they call the ... ...r sterilizations in other instances. (16) Some years ago Poland allowed for chemical castration of pedophiles. “Legally the state is in loco ... ...ts, for an unmarried clergy, for its opposition to mechanical, hormonal and chemical contraception and to abortion. When the Pope speaks ex cathedra ...

... years, other of my articles on the new engineering have been published in British Chemical Engineering, in Mechanical Engineering, and in ASME Jour... ...is that the number of terms in Eq. (7-15) increases as the number of heat transfer elements is increased. ... ...oncerns the determination of heat flux and temperature profile. All heat transfer elements in the problem exhibit proportional behavior, and theref... ...ls with heat transfer systems in a simple and direct manner, even if they contain elements that exhibit the highly nonlinear behavior that can resul... ...oneous conclusion, Fourier states: If we did not make a complete analysis of the elements of the problem, we should obtain an equation not homogen... ...n Rauhen Rohren , V.D.I. Forschungsheft 361, Berlin, pp 1-22 Perry, J.H., 1950, Chemical Engineers Handbook , p 474, McGraw-Hill Pigott, R.J.S...

...hoice 1. The Freedom to Choose 2. Controlling My Own Destiny 3. The Four Elements that Comprise Us 4. The Right Environment 5. The Law of Equivale... ...of 263 Interview With The Future Gravity Reality consists of two elements: Creator and creature. We feel this in our senses in various ways... ...r the best, and then we can avoid being controlled by nature. The Four Elements that Comprise Us Question: What exactly does the upper force leav... ...er: In order to answer that question, we must first examine our “I,” what elements man is made of. Man is made of four elements. The first element i... ...n. This is the second element, and we cannot influence it. The other two elements, the third and the fourth, relate to our development, but they ar... ... speak of the powers of nature, such as gravity, the electric force, or a chemical force, in the end, they are all but two: the pulling force, whic...

...FAQ # 51: Narcissists, Inverted Narcissists and Schizoids FAQ # 52: Narcissists, Medications and Chemical Imbalances FAQ # 53: Myths about Narcissi... ...e psychological impact of trauma, abuse, upbringing, role models, peers, and other environmental elements. Nor is the distinction between psychotrop... ...s form the core of all branches of human knowledge. No one has ever seen a quark, or untangled a chemical bond, or surfed an electromagnetic wave, o... ...sentations. To the narcissist, losing control means going insane. Because other people are mere elements in the narcissist's mind, being unable to ...

...concepts. We further assume no intermediate relation exists within the domain elements or node and the range spaces elements. The number of elements... ...of elements in the range space need not in general be equal to the number of elements in the domain space. Thus throughout this section we assume t... ...mediate relations exist within the domain and the range spaces. The number of elements or 37 nodes in the range space need not be equal to the num... ...elements or 37 nodes in the range space need not be equal to the number of elements or nodes in the domain space. Throughout this section we assu... ... elements or nodes in the domain space. Throughout this section we assume the elements of a domain space are taken from the neutrosophic vector spac... ...eory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, six Ph.D. schola...

...ow is it possible to free oneself of the five poisons and acquire the five elements of wisdom? First of all with constant, daily meditation, in humbl... ...of opposites, something is created that is entirely different from the two elements that were present before. An artist that works with marble and... ...counter with Aeolus, the god of the winds. This story contains some clear elements that can help us understand very well how immense Ulysses’ envy ... ...have the story of Ulysses’ adventures and we would not have one of the key elements that must be reflected upon if we want to understand the Odyssey... ...toms; human beings create their strength by making a synthesis between two elements that are completely opposite. The first is a work of art of natur... ...* “Just as the tree transforms energy (it transforms light energy into chemical energy), it also synthesizes energy (it makes a synthesis of th...

...ies have fled, peace will remain; the perfect peace, coming from the three elements, joy. forbearance and thanks- giving. COLLEGE NOTES Minot '10 has ... ... Roon- ey, Pratt. Senior Plans Continued From Last Issue Kanter will study chemical en- gineering at Michigan university. Keith will go into business ... ...arship men, the reward for high standing in olass work, and the democratic elements all comprise the impor- tant features of this new plan. The only p... ...ty, John S. Adri- once of New Y'ork city, a member of the leading Americon chemical societies, Livingston W. Fargo of Chicago, III., president of the ... ...ened. Why didn't we get a glimpse of Flora? "Death Mountain" embodies many elements of the ideal short story. We deal in realities from the beginning,... ...tened. Wh; didn't we get a glimpse of Flora? "Death Mountain" embodie many elements of the ideal shor story. We deal in realities fron the beginning. ... ...ul laboratory. He will con- tinue his researches' on the effect of various chemical stimuli on protozoa, and expects to attend the International Zoolo... ...and VI of Mathematics 1 will recite in the recitation room of the Thompson Chemical Laboratory; and division IV of Latin 1 will recite in 6 instead of... ...y of Catifornin. Kanter is at his home in Detroit and next year will study chemical engineering at the University of Michigan. Keith is in the employ ...

... sturdy ruins behind heavily guarded barricades, protecting them from the elements and those who sought to murder them. However, nothing on the surf... ...terial, called Dermoflesh, appeared off white and stiff. Once soaked in a chemical solution, the artificial skin became flexible. Laid into a compac... ...ropped to his knees, heavily panting. His clothing protected him from the elements, yet weighed him down and made him unbearably hot. Embedding Atla...