On the Generalized Strongly Nil-Clean Property of Matrix Rings

来源 :代数集刊（英文版） | 被引量 : 0次 | 上传用户：wuusir

【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.

【作者】

：

Aleksandra S.Kosti(c) Zoran Z.Petrovi(c) Zoran S.Pucanovi(c) Maja Roslavcev

【机构】

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Faculty of Mathematics,University of Belgrade Studentski trg 16,11000 Belgrade,Serbia;Faculty of Civ

【出处】

：

代数集刊（英文版）

【发表日期】

：

2021年4期

【关键词】

：

idempotent matrix nilpotent matrix nil-clean ring matrix ring

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On the Generalized Strongly Nil-Clean Property of Matrix Rings

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