TL—子环上的TL—子模的格

研究TL－子环上TL－子模形成的格及其子格的性质,给出这些格之间的同态与同构定理。     

模糊子群直积的若干性质

在Ray的论文[Onproduct of fuzzy subgroups105（1999）181—183]中，作者给出了模糊子群直积在min下的一些性质。在本文中我们将给出更多关于模糊子群直积的性质，并推广到模糊子环上；最后讨论了模糊子群的直积在t-模下的一些性质。     

直觉模糊子环及其同构

利用既约集合套讨论了直觉模糊子环和直觉模糊理想的一些性质,并在两个经典环同态与同构意义下,定义了直觉模糊商环,商直觉模糊子环,以及直觉模糊子环的直和,并讨论了其相关性质.     

Actions of Lie Superalgebras on Reduced Rings

In this paper, we look at the question of whether the subring of invariants is always nontrivial when a finite dimensional Hopf algebra acts on a reduced ring. Affirmative answers where given by Kharchenko for group algebras and by Beidar and Grzeszczuk for finite dimensional restricted Lie algebras. Our main result is Theorem 13 If R is a graded-reduced ring of characteristic p > 2 acted on by a finitely generated restricted K-Lie superalgebra L, then . We can then use Theorem 13 to prove Corollary 15 Let R be a reduced algebra over a field K of characteristic p > 2 acted on by a finite dimensional restricted K-Lie superalgebra L and let H = u(L)#G, where G is the group of order 2 with the natural action on L. If R ^H satisfies a polynomial identity of degree d, then R satisfies a polynomial identity of degree dN, where N is the dimension of H. Presented by Donald S. Passman.     

Prüfer-Like Conditions in Subring Retracts and Applications

In this article, we consider five possible extensions of the Prüfer domain notion to the case of commutative rings with zero divisors. We investigate the transfer of these Prüfer-like properties between a commutative ring and its subring retract. Our results generate new families of examples of rings subject to a given Prüfer-like conditions.     

Fuzzy带算子环和Fuzzy带算理想

提出Fuzzy带算子环、Fuzzy带算理想和Fuzzy带算商环的定义,讨论它们的一些初等性质。     

幂环的结构与分类

完整地研究了各种幂环的结构及它们之间的关系. 对幂环进行了分类, 并构造了各类的子环列和理想列.     

L-Fuzzy子群与L-Fuzzy群同态

借助于L—fuzzy集的水平截集给出了L—fuzzy子群、L—fuzzy子环的一些新刻画．进一步给出了L-Fuzzy群同态与L—Fuzzy环同态的新刻画．     

Maximal and minimal prime ideals of incidence algebras

Abstract

In this paper we study the relationship between some homological properties such as the weak and the global dimension, the strong n-coherence, and the (n, d)-property, where n and d are two integers, of a commutative ring and its subrings retract. A special application is the transfer of these properties from a commutative ring to its fixed subring with respect to a subgroup of its group of automorphisms. It concludes with a discussion of the scopes and limits of our results.