Published January 1, 2018 | Version v1
Journal article Open

On graded nil clean rings

  • 1. Univ Sarajevo, Fac Civil Engn, Patriotske Lige 30, Sarajevo 71000, Bosnia & Herceg
  • 2. Gebze Tech Univ, Dept Math, Gebze, Turkey

Description

In this paper we introduce and study the notion of a graded (strongly) nil clean ring which is group graded. We also deal with extensions of graded (strongly) nil clean rings to graded matrix rings and to graded group rings. The question of when nil cleanness of the component, which corresponds to the neutral element of a group, implies graded nil cleanness of the whole graded ring is examined. Similar question is discussed in the case of groupoid graded rings as well.

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