GENERALIZED COFINITELY delta-SEMIPERFECT MODULES

Yuzbasi F., Eren Ş.

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, cilt.59, sa.2, ss.269-280, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2478/v10157-012-0049-0
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.269-280
  • Anahtar Kelimeler: cofinitely generalized delta-supplemented module, cofinitely generalized weak delta-supplemented module, generalized cofinitely delta-semiperfect module, generalized projective delta-cover, SUPPLEMENTED MODULES, RINGS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Let R be a ring and M be a left R-module. M is called a cofinitely generalized (weak) delta-supplemented module or briefly a delta-CGS-module (delta-CGWS-module) if every cofinite submodule of M has a generalized (weak) delta-supplement in M. In this paper, we give various properties of these modules. It is shown that (1) The class of cofinitely generalized (weak) delta-supplemented modules are closed under taking homomorphic images, arbitrary sums, generalized delta-covers and closed under extensions. (2) M is a generalized cofinitely delta-semiperfect module if and only if M is a cofinitely generalized delta-supplemented by generalized delta-supplements which have generalized projective delta-covers.