Certain Clean Decompositions for Matrices over Local Rings

Kurtulmaz Y., KÖSE H., Chen H.

Kyungpook Mathematical Journal, cilt.63, sa.4, ss.561-569, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.5666/kmj.2023.63.4.561
  • Dergi Adı: Kyungpook Mathematical Journal
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.561-569
  • Anahtar Kelimeler: Local ring, Power-series, Strongly clean matrix, Strongly rad-clean matrix
  • Ankara Üniversitesi Adresli: Evet

Özet

Anelementae R is strongly rad-clean provided that there exists an idempotent e e R such that a — e e U(R), ae = ea and eae e J(eRe). In this article, we completely determine when a 2 x 2 matrix over a commutative local ring is strongly rad clean. An application to matrices over power-series is also given.