Fuzzy Isomorphism Theorems of Hyperrings超环的模糊同构定理 超环正规模糊超理想同构.The concept of normal fuzzy hyperideals of hyperrings is introduced and then some fuzzy isomorphism theorems of hyperrings is obtained by normal fuzzy hyperideals.马学玲詹建明系统科学与数学...
Liu X, Xiang D, Zhan J, Shum KP, Isomorphism theorems for soft rings. Algebra Colloquium (in press) Liu Y, Liu S (2004) Fuzzy isomorphism theorems of groups. Far East J Appl Math 16:77–89 Liu YL, Meng J, Xin XL (2001) Quotient rings induced via fuzzy ideals. Korean J Comput...
This follows readily from the isomorphism theorems for rings. en.wikipedia.org It is an -category generalization of a groupoid, a category in which every morphism is an isomorphism. en.wikipedia.org However, the isomorphism theorem gives a stronger result, because ring isomorphisms preserve multipl...
摘要: The three isomorphism theorems of ring theory are derived in the context of hyperrings. Then a Jordan-Hlder theorem is derived for hyperrings. Finally, we consider the fundamental relation γ * defined on a hyperring and prove some results and a fundamental theorem in this respect....
For rings R and S, consider the situation . Then there is an isomorphism In the situation , there is an isomorphism Proof We only discuss the first isomorphism; the second is similar. Since B is a bimodule, Theorem 1.8 shows B ⊗RA is a left S-module and Theorem 1.15 shows is a ...
The concepts of fuzzy ideals of soft rings are introduced. The first, second and third fuzzy isomorphism theorems of soft rings are established respectivel... X Liu,D Xiang,J Zhan - 《Neural Computing & Applications》 被引量: 43发表: 2012年 Isomorphism theorems and fuzzy k -ideals of k ...
W. May, Group algebras over finitely generated rings, submitted to Algebra. Google Scholar Cited by (12) A conjecture relating to the isomorphism problem for commutative group algebras 1986, North-Holland Mathematics Studies Unit groups and isomorphism theorems for commutative group algebras ...
Isomorphisms and anti-isomorphisms of endomorphism rings of modules Anti-isomorphisms of endomorphism rings of strong generators; 5. Endomorphism semigroups of modules; 6. Isomorphisms of the general linear group GL N (A) over an associative ring A; 7. On Mal’cev type theorems on elementary...
A class satisfies a Jacobson radical isomorphism theorem if an isomorphism between only the Jacobson radicals of the endomorphism rings of two modules in that class implies that the modules are isomorphic. Jacobson radical isomorphism theorems exist for subclasses of the classes of torsion, torsion-...
Warren MayNorth-Holland Mathematics StudiesW. May, “Unit groups and isomorphism theorems for commutative group algebras,” in: Group and Semigroup Rings. Proc. Int. Conf. Johannesburg, 7–13 July, 1985, Amsterdam (1986), pp. 163–178....