Published January 1, 2016 | Version v1
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Factorizations of Matrices over Projective-free Rings

  • 1. Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
  • 2. Ahi Evran Univ, Dept Math, Kirsehir, Turkey
  • 3. Bilkent Univ, Dept Math, Ankara, Turkey

Description

An element of a ring R is called strongly J(#)-clean provided that it can be written as the sum of an idempotent and an element in J(#)(R) that commute. In this paper, we characterize the strong J(#)-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings.

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