ON RICKART MODULES

Agayev N., HALICIOĞLU S., Harmanci A.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.38, sa.2, ss.433-445, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 2012
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.433-445
  • Anahtar Kelimeler: Rickart modules, Baer modules, reduced modules, rigid modules, BAER, EXTENSIONS
  • Ankara Üniversitesi Adresli: Evet

Özet

We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be an arbitrary ring with identity and M be a right R-module with S = End(R)(M). A module M is called to be Rickart if for any f is an element of S, (TM)(f) = Se, for some e(2) is an element of e 2 S. We prove that some results of principally projective rings and Baer modules can be extended to Rickart modules for this general settings.