Graded polynomial identities as identities of universal algebras

被引：12

作者：

Bahturin, Yuri ^{[1
]}

Yasumura, Felipe ^{[1
,2
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Univ Estadual Campinas, Dept Math, BR-13083859 Campinas, SP, Brazil

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2019年 / 562卷

基金：

巴西圣保罗研究基金会; 加拿大自然科学与工程研究理事会;

关键词：

Graded algebra; Graded polynomial identities; Polynomial identities; Universal algebra; SUPERINVOLUTIONS; INVOLUTIONS; GRADINGS; GROWTH;

D O I：

10.1016/j.laa.2018.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A and B be finite-dimensional simple algebras with arbitrary signature over an algebraically closed field. Suppose A and B are graded by a semigroup S so that the graded identical relations of A are the same as those of B. Then A is isomorphic to B as an S-graded algebra. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1 / 14

页数：14

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