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排序方式: 共有253条查询结果,搜索用时 265 毫秒
201.
弱Hopf代数与正则幺半群 总被引:1,自引:0,他引:1
本文定义了弱Hopf代数并研究了弱Hopf代数的弱对极与类群元幺半群的关系.首先,本文给出弱Hopf代数的一些基本性质;然后,对类群元幺半群是逆半群或纯正半群的某些弱Hopf代数,描述了其弱对极的一些性质;最后,给出一类其类群元幺半群为正则半群的弱Hopf代数. 相似文献
202.
For a monoid M, we introduce the concept of skew strongly M-reversible rings which is a generalization of strongly M-reversible rings, and investigate their properties. It is shown that if G is a finitely generated Abelian group, then G is torsion-free if and only if there exists a ring R with |R| ≥ 2 such that R is skew strongly G-reversible. Moreover, we prove that if R is a right Ore ring with classical right quotient ring Q, then R is skew strongly M-reversible if and only if Q is skew strongly M-reversible. 相似文献
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205.
Viktoriya Ozornova 《代数通讯》2017,45(4):1760-1784
A recent theorem of Dobrinskaya [20] states that the K(π,1)-conjecture holds for an Artin group G if and only if the canonical map BM→BG is a homotopy equivalence, where M denotes the Artin monoid associated to G. The aim of this paper is to give an alternative proof by means of discrete Morse theory and abstract homotopy theory. Moreover, we exhibit a new model for the classifying space of an Artin monoid, in the spirit of [13], and a small chain complex for computing its monoid homology, similar to the one of [44]. 相似文献
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207.
An abelian group A is an S-group (S +-group) if every subgroup B ≤ A of finite index is A-generated (A-solvable). This article discusses some of the differences between torsion-free S-groups and mixed S-groups, and studies (mixed) S- and S +-groups, which are self-small and have finite torsion-free rank. 相似文献
208.
Adolf Mader 《代数通讯》2013,41(8):2823-2844
The unique largest regular ideal Reg(A, A) in the endomorphism ring End(A) is computed for abelian groups A using the general tools developed in [7]. This generalizes earlier results on groups with regular endomorphism ring. Interesting questions remain for a very special class of mixed abelian groups. 相似文献
209.
Liang-yun Zhang 《代数通讯》2013,41(4):1269-1281
In this article, we mainly give the structure theorem of endomorphism algebras of weak Hopf algebras, and give another structure theorem as well as some applications for weak Doi–Hopf modules. 相似文献
210.
Yonglin Cao 《代数通讯》2013,41(9):3404-3416
Let R be an Artinian chain ring with a principal maximal ideal. We investigate properties of matrices over R and give matrix representations of R-submodules of R n first, then consider Green's relations, Green's relation equivalent classes, Schützenberger groups of 𝒟-classes, principal factors, and group ?-classes of the multiplicative monoid M n (R) of n × n matrices over R. Furthermore, we show that M n (R) is an eventually regular semigroup and derive basic numerical information of M n (R) when R is finite. 相似文献