[PDF] Top 20 Fuzzy congruences on groups and rings

... Lattice, groups, rings, fuzzy congruences, fuzzy normal subgroup, fuzzy ideals, isomorphism.. 1991 AMS SUBJECT CLASSIFICATION CODES.[r] ... See full document

... on groups and group rings, including information on conjugacy classes and representation theory, see [7], and for background on group ring matrices see ... See full document

... For this it is shown with the aid of computational algebra that the prime graph question, or even in some cases (ZC-1), has a positive answer for all almost simple groups G of this type. For the most cases these ... See full document

... of rings of invariants of finite groups was the classical book of ...of rings of invariants were studied and plenty of examples were considered especially including many ‘pathological’ examples (when ... See full document

... We study 2-representations, i.e., actions of 2-groups on 2-vector spaces. Our main focus is character theory for 2-representations. To this end we employ the technique of extended Burnside rings. Our main ... See full document

... Where would these objects arise in the study of group rings? The following construction can be found in [9], p. 2, and will be important in Chapter 5. Let R be a ring and G be a group, with N a subgroup. We wish ... See full document

... Many authors have studied exchange rings with primitive factors artinian. Fisher and Snider proved that every regular ring with primitive factors artinian is unit- regular (see [6, Theorem 6.10]). Moreover, Menal ... See full document

... One can immediately see that the rank function defines a metric d(A, B) := rk(A − B ) on any algebra with a rank, and the matrix algebra is complete with respect to this metric. These complete ∗-regular algebras are ... See full document

... group rings of groups of small order (Groups, rings and group rings, Chapman & Hall/CRC, Boca Raton, FL), ...GAP- Groups, Algorithms and Programming, version ...group ... See full document

... a fuzzy subset of a nonempty set X is a map f from X into the closed interval [, ...of fuzzy subset of a set was firstly introduced by Zadeh ...as groups and rings and so on (see [–] ... See full document

... soft groups and Aygungolu and Aygun [4] generalized their concept and introduced fuzzy soft groups in ...applying fuzzy soft tools to other algebraic structures viz., rings, modules, ... See full document

... -upper fuzzy rough approximations with respect to T -congruence L-fuzzy relation on a ...of fuzzy sets which are induced by ...for groups, which is a generalization of an ordinary ...of ... See full document

... simple groups, rings, the simple and congruence-free semigroups) attracted the attention of algebraists ...left) congruences are exactly either semigroups of no more than two elements or cyclic ... See full document

... of fuzzy subsets and studied their properties on the parallel lines to set ...the fuzzy subgroup and gave some of its ...a fuzzy group is a turning point for pure ...of fuzzy algebraic ... See full document

... of fuzzy sets [13], theory of intuitionistic fuzzy sets [4], theory of vague sets [7], theory of interval mathematics [8], and theory of rough sets [11] which were considered best mathematical tools for ... See full document

... Every ( ,    q ) -fuzzy ideal of M is an ( ,    q ) -fuzzy weak bi-ideal of M . Proof. By Lemma 3.6, every ( ,    q ) -fuzzy ideal of M is an ( ,    q ) -fuzzy bi-ideal of M . By ... See full document

... In this paper we define, homomorphism and study the   near-ring homomorphism. Wang, Z.D., [15] introduced the basic concepts of TL-ideals and Fuzzy invariant subgroups and fuzzy ideals. We introduced ... See full document

... of fuzzy strong bi-ideal of a near-ring and obtain a characterization of a strong bi-ideal in terms of a fuzzy strong bi-ideal of a ...every fuzzy left N-subgroup fuzzy left ideal of a ... See full document

... of fuzzy ring and fuzzy ...of fuzzy ideal, in the case of Liu and Ren were actually a rational extension of Rosenfeld’s fuzzy group by starting with an ordinary ring and then define a ... See full document

... We will show next that 0 is one-to-one. Suppose that there exist distinct varieties of strong semilattices of groups say 90^ v d 90g v d such that U V 90jV 3 - Zl v 90gV 3. Then w ithout loss of generality there ... See full document