On the Generalized Strongly Nil-Clean Property of Matrix Rings  

作　　者：Aleksandra S.Kostic Zoran Z.Petrovic Zoran S.Pucanovic Maja Roslavcev 

机构地区：[1]Faculty of Mathematics,University of Belgrade Studentski trg 16,11000 Belgrade,Serbia [2]Faculty of Civil Engineering,University of Belgrade Bulevar kralja Aleksandra 73,11000 Belgrade,Serbia

出　　处：《Algebra Colloquium》2021年第4期625-634,共10页代数集刊（英文版）

基　　金：supported by Ministry of Educations,Science and Technological Development of Republic of Serbia Project#174032.

摘　　要：Let R be an associative unital ring and not necessarily commutative.We analyze conditions under which every n×n matrix A over R is expressible as a sum A=E1+…+Es+N of(commuting)idempotent matrices Ei and a nilpotent matrix N.

关 键 词：idempotent matrix nilpotent matrix nil-clean ring matrix ring 

分 类 号：O15[理学—数学]