共查询到20条相似文献,搜索用时 31 毫秒
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Let k be an algebraically closed field of characteristic zero.This paper proves that semisimple Hopf algebras over k of dimension 66,70 and 78 are of Frobenius type. 相似文献
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设O→J→A→B→O是一个拟对角扩张.作者证明如果J和B具有Cuntz半群的某些性质,则A也具有相同的半群性质. 相似文献
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我们证明了蕴涵BCK-代数的伴随半群是一个上半格;具有条件(s)的蕴涵BCK-代数的伴随半群是一个广义布尔代数。更进一步证明了有界蕴涵BCK-代数的伴随半群是一个布尔代数。 相似文献
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设A是代数闭域k上的一个具乘基B的有限维含幺结合代数,称半群B∪{0}为A的基半群.本文给出了0 J 严格单半群的定义.对于基半群为0 J 严格单半群的零直并的代数,完全研究了它的代数表示型 相似文献
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FI代数,BCK代数与关联半群 总被引:7,自引:3,他引:4
文献[1]讨论了Fuzzy蕴涵代数(简称为FI代数)与MV代数、格蕴涵代数之间的关系,本文进一步讨论了FI代数与有界关联BCK代数、关联半群的联系,并应用FI代数方法简化了BCK代数中某些定理的证明。 相似文献
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本文及其续试将代数K-理论方法引入半群理论的研究。 设S是一个半群(有单位元和零元),P(S)是有限生成投射(单式、中心左)S-系范畴。本文定义半群S的Grothendieck群K_0S是K_0P(S),并证明了,K_0S是个自由Abel群,它的秩等于S的非零正则?-类的集合的基数。由此,定义了一般半群(未必有单位元和零元)的秩,考察了半群的秩与它们的代数结构之间的关系。接着讨论了K_0的函子性质。最后,对于交换半群S,刻划了K_0S的环结构。 相似文献
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关于BCI—代数伴随半群中的可逆元 总被引:4,自引:0,他引:4
给出了BCI-代数的伴随半群中可逆元的刻划,说明BCI-代数的p-半单闭理想与其伴随半群的子群之间有一一对应关系,并证明最大的p-半单闭理想是根理想。 相似文献
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HAN Guo-qiang YA O Hai-lou 《数学季刊》2014,(2):244-246
Let K be an algebraically closed field and A be a finite dimensional algebra over K. In this paper we give a classification of biserial incidence algebras with quiver methods. 相似文献
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Alessandro De Stefani 《代数通讯》2013,41(2):729-754
In this article we study Hilbert functions and isomorphism classes of Artinian level local algebras via Macaulay's inverse system. Upper and lower bounds concerning numerical functions admissible for level algebras of fixed type and socle degree are known. For each value in this range we exhibit a level local algebra with that Hilbert function, provided that the socle degree is at most three. Furthermore, we prove that level local algebras of socle degree three and maximal Hilbert function are graded. In the graded case, the extremal strata have been parametrized by Cho and Iarrobino. 相似文献
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Let G be an abelian group and let R be a commutative ring with identity. Denote by R t G a commutative twisted group algebra (a commutative twisted group ring) of G over R, by ?(R) and ?(R t G) the nil radicals of R and R t G, respectively, by G p the p-component of G and by G 0 the torsion subgroup of G. We prove that:
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If R is a ring of prime characteristic p, the multiplicative group R* of R is p-divisible and ?(R) = 0, then there exists a twisted group algebra R t 1 (G/G p ) such that R t G/?(R t G) ? R t 1 (G/G p ) as R-algebras;
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If R is a ring of prime characterisitic p and R* is p-divisible, then ?(R t G) = 0 if and only if ?(R) = 0 and G p = 1; and
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If B(R) = 0, the orders of the elements of G 0 are not zero divisors in R, H is any group and the commutative twisted group algebra R t G is isomorphic as R-algebra to some twisted group algebra R t 1 H, then R t G 0 ? R t 1 H 0 as R-algebras.
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设K是一个代数闭域,A是域K上一个有限维代数.我们利用箭图方法给出了(*)-serial incidence代数的分类. 相似文献
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Luiz G. X. de Barros 《代数通讯》2013,41(9):3323-3328
It is proven that finite loops whose derived subloop is central are determined by Z, the ring of integers, that is, if L and M are two such loops and Z L ? Z M, then L ? M. 相似文献
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Reza Rezavand Massoud Amini Mohammad Hossein Sattari Davood Ebrahimi Bagha 《Semigroup Forum》2008,77(2):300-305
We extend the concept of Arens regularity of a Banach algebra
to the case that there is an
-module structure on
, and show that when S is an inverse semigroup with totally ordered subsemigroup E of idempotents, then A=ℓ
1(S) is module Arens regular if and only if an appropriate group homomorphic image of S is finite. When S is a discrete group, this is just Young’s theorem which asserts that ℓ
1(S) is Arens regular if and only if S is finite.
An erratum to this article can be found at 相似文献