Generalized Centrosymmetric Matrix Algebras Induced by Automorphisms

作     者：Huabo Xu 

作者机构：School of ScienceBeijing University of Civil Engineering and Architecture Beijing 102616China 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2022年第29卷第4期

页      面：607-618页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Beijing Nova Program(Z181100006218010) by Research Ability Improvement Program of BUCEA(Grant No.X22026) 

主　　题：φ-centrosymmetric matrix cellular algebra Frobenius extension 

摘      要：Let R be a ring with an automorphismφof order *** introduce the definition ofφ-centrosymmetric *** by M_(n)(R)the ring of all n X n matrices over R,and by Sn(φ,R)the set of all p-centrosymmetric n×n matrices over R for any positive integer *** show that Sn(φ,R)■M_(n)(R)is a separable Frobenius *** R is commutative,then Sn(φ,R)is a cellular algebra over the invariant subring R^(φ)of R.