STRONG P-CLEANNESS OF TRIVIAL MORITA CONTEXTS

Calci M. B., HALICIOĞLU S., Harmanci A.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.34, sa.4, ss.1069-1078, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.4134/ckms.c180361
  • Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1069-1078
  • Anahtar Kelimeler: Morita context, prime radical, strongly P-clean ring, strongly clean ring, triangular matrix ring, MATRIX-RINGS
  • Ankara Üniversitesi Adresli: Evet

Özet

Let R be a ring with identity and P(R) denote the prime radical of R. An element r of a ring R is called strongly P-clean, if there exists an idempotent e such that r - e = p is an element of P(R) with ep = pe. In this paper, we determine necessary and sufficient conditions for an element of a trivial Morita context to be strongly P-clean.