Co-commuting Mappings of Generalized Matrix Algebras

Co-commuting Mappings of Generalized Matrix Algebras

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摘要 Let G be a generalized matrix algebra over a commutative ring R and Z（G） be the center of G. Suppose that F, T ：G→G are two co-commuting R-linear mappings, i.e., F（x）x = xT（x） for all x ∈ G. In this note, we study the question of when co-commuting mappings on G are proper. Let G be a generalized matrix algebra over a commutative ring R and Z（G） be the center of G. Suppose that F, T ：G→G are two co-commuting R-linear mappings, i.e., F（x）x = xT（x） for all x ∈ G. In this note, we study the question of when co-commuting mappings on G are proper.

作者 Liang Xin-feng Xiao Zhan-kui Du Xian-kun

机构地区 School of Mathematical Sciences

出处《Communications in Mathematical Research》 CSCD 2015年第4期311-319,共9页 数学研究通讯（英文版）

关键词 co-commuting map generalized matrix algebra PROPER co-commuting map, generalized matrix algebra, proper

分类号 O241.6 [理学—计算数学]

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Communications in Mathematical Research

2015年第4期

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Co-commuting Mappings of Generalized Matrix Algebras

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