Generalized Centrosymmetric Matrix Algebras Induced by Automorphisms  

作　　者：Huabo Xu 

机构地区：[1]School of Science,Beijing University of Civil Engineering and Architecture Beijing 102616,China

出　　处：《Algebra Colloquium》2022年第4期607-618,共12页代数集刊（英文版）

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

摘　　要：Let R be a ring with an automorphismφof order two.We introduce the definition ofφ-centrosymmetric matrices.Denote 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 n.We show that Sn(φ,R)■M_(n)(R)is a separable Frobenius extension.If R is commutative,then Sn(φ,R)is a cellular algebra over the invariant subring R^(φ)of R.

关 键 词：φ-centrosymmetric matrix cellular algebra Frobenius extension 

分 类 号：O15[理学—数学]