On the Generalized Strongly Nil-Clean Property of Matrix Rings

• 作者: Aleksandra S.Kosti(c) Zoran Z.Petrovi(c) Zoran S.Pucanovi(c) Maja Roslavcev
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 625-634
• 页数: 10页
• 语种: 英文
• DOI: 10.1142/S1005386721000481

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.