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排序方式: 共有197条查询结果,搜索用时 15 毫秒
1.
Yafit Natani 《代数通讯》2017,45(9):3872-3885
In this paper, we investigate the basis graph of the monoid algebra of a submonoid of the monoid of mappings from N = {1,…,n} to itself, defined by a nested sequence of compositions of N. Each such monoid is a left regular band (LRB), that is, a semigroup S satisfying x2 = x and xyx = xy for all x,y∈S. This class is su?ciently rich that every path algebra of an acyclic quiver can be embedded in such a monoid algebra. The multiplication in the monoid algebra has a particularly simple quasi-multiplicative form, allowing definition over the integers. Combining this with a formula for Ext-groups for LRBs due to Margolis et al. [6], we get a simple criterion for the nested composition algebras to be hereditary. 相似文献
2.
3.
《Journal of Pure and Applied Algebra》2023,227(2):107179
Let D be an integral domain and let be a torsion-free, ≤-cancellative, subtotally ordered monoid. We show that the generalized power series ring is a Krull domain if and only if D is a Krull domain and S is a Krull monoid. 相似文献
4.
研究了全序幂等元剩余格,给出了全序幂等元剩余格的另一种新的构造方法,并且得到了这类剩余格的结构定理,推广了相关文献的结论. 相似文献
5.
由n次幂等矩阵确定的交换幺半群 总被引:1,自引:0,他引:1
设R是含幺结合环,n≥2为自然数.对所有的k≥1,本文给出了n次幂等矩阵集Pk^n(R)={P|P^n=P∈Mk(R)}上的一种等价关系,证明了P^n(R)=∪k=1^∞Pk^n(R)中的等价类在给定的加法运算下构成一个交换幺半群. 相似文献
6.
Using actions of free monoids and free associative algebras, we establish some Schreier-type formulas involving ranks of actions and ranks of subactions in free actions or Grassmann-type relations for the ranks of intersections of subactions of free actions. The coset action of the free group is used to establish a generalization of the Schreier formula in the case of subgroups of infinite index. We also study and apply large modules over free associative and free group algebras. 相似文献
7.
8.
We study partially ordered monoids over which a class of free (over sets and over posets), projective, and (strongly, weakly)
flat partially ordered polygons is axiomatizable, complete, or model complete. Similar issues for polygons were dealt with
in papers by V. Gould and A. Stepanova.
Supported by the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (grant NSh-2810.2008.1).
Translated from Algebra i Logika, Vol. 48, No. 1, pp. 90–121, January–February, 2009. 相似文献
9.
Jos Nicanor ALONSO LVAREZ Ramón GONZLEZ RODRIGUEZ Carlos SONEIRA CALVO 《数学学报(英文版)》2014,30(4):567-590
In this paper,we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter–Drinfeld modules over a weak braided Hopf monoid.We apply the general result to the calculus of the center in module categories. 相似文献
10.
The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra At =n i =0Aαi tfrom a Clifford monoid S = [Y; Gα, φα,β ]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H(S, n, c, χ, a, b) through factoring At by a semilattice graded weak Hopf ideal. 相似文献