Symmetric modules over their endomorphism rings

ÜNGÖR B., Kurtulmaz Y., HALICIOĞLU S., Harmanci A.

ALGEBRA & DISCRETE MATHEMATICS, cilt.19, sa.2, ss.283-294, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.283-294
  • Anahtar Kelimeler: symmetric modules, reduced modules, rigid modules, semicommutative modules, abelian modules, Rickart modules, principally projective modules, BAER
  • Ankara Üniversitesi Adresli: Evet

Özet

Let R be an arbitrary ring with identity and Al a right R-module with S = End(R)(M). In this paper, we study right R-modules 11 haying; the property for f, g is an element of End(R)(M) and for m is an element of M, the condition f gm = 0 implies gfm = 0. We prove that some results of symmetric rings can be extended to symmetric [nodules for this general setting.