Strong J-cleanness of formal matrix rings

Gurgun O., HALICIOĞLU S., Harmanci A.

Advanced Studies in Contemporary Mathematics (Kyungshang), cilt.24, sa.4, ss.483-498, 2014 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 4
  • Basım Tarihi: 2014
  • Dergi Adı: Advanced Studies in Contemporary Mathematics (Kyungshang)
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.483-498
  • Anahtar Kelimeler: Formal matrix ring, Local ring, Strongly clean, Strongly J-clean, Strongly nil clean
  • Ankara Üniversitesi Adresli: Evet

Özet

An element a of a ring R is called strongly J-clean provided that there exists an idempotent e ∈ R such that a - e ∈ J(R) and ae = ea. A ring R, is strongly J-clean in case every element in R is strongly J-clean. In this paper, we investigate strong J-cleanness of M2(R;s) for a local ring R and s ∈ R. We determine the conditions under which elements of M2(R; s) are strongly J-clean.