Generalized f-semiperfect Modules

Turkmen B. N., Pancar A.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.4, sa.1, ss.85-92, 2013 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 1
  • Basım Tarihi: 2013
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.85-92
  • Anahtar Kelimeler: Generalized projective cover, Generalized semiperfect module, Generalized f-semiperfect module
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper we introduce generalized f-semiperfect modules as a generalization of the generalized semiperfect modules. We give various properties of the generalized f-semiperfect modules. We show that: (i) every generalized f-semiperfect module over a regular ring is f-semiperfect; (ii) for small or for finitely generated submodules L of M, the factor module M/L is generalized f-semiperfect; (iii) If M is a projective and generalized f-semiperfect module such that every Rad-supplement in M is a direct summand of M, then every direct summand of M is a generalized f-semiperfect module; (iv) If M = circle plus M-i is an element of I(i) is a locally Noetherian and duo module such that {M-i}(i is an element of I) is the family of generalized f-semiperfect modules, then M is a generalized f-semiperfect module.