Factorizations of Matrices over Projective-free Rings

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Chen H., KÖSE H., Kurtulmaz Y.

Algebra Colloquium, cilt.23, sa.1, ss.23-32, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s1005386716000043
  • Dergi Adı: Algebra Colloquium
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.23-32
  • Anahtar Kelimeler: characteristic polynomial, projective-free ring, strongly J#-matrix
  • Ankara Üniversitesi Adresli: Evet

Özet

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.