Modules which are Reduced over their Endomorphism Rings

Agayev N., HALICIOĞLU S., Harmanci A., ÜNGÖR B.

THAI JOURNAL OF MATHEMATICS, cilt.13, sa.1, ss.177-188, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2015
  • Dergi Adı: THAI JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.177-188
  • Anahtar Kelimeler: Reduced modules, rigid modules, semicommutative modules, abelian modules, Baer modules, quasi-Baermodules, principally quasi-Baermodules, Rickart modules, principally projective modules
  • Ankara Üniversitesi Adresli: Evet

Özet

Let R be an arbitrary ring with identity and M a right R-module with S = End(R)( M). The module M is called reduced if for any m is an element of M and f is an element of S, fm = 0 implies fM boolean AND Sm = 0. In this paper, we investigate properties of reduced modules and rigid modules.