Factorizations of Matrices over Projective-free Rings

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Chen H., KÖSE H., Kurtulmaz Y.

Algebra Colloquium, vol.23, no.1, pp.23-32, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1142/s1005386716000043
  • Journal Name: Algebra Colloquium
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.23-32
  • Keywords: characteristic polynomial, projective-free ring, strongly J#-matrix
  • Ankara University Affiliated: Yes

Abstract

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.