ON A GENERALIZATION OF ?-CO-COATOMICALLY SUPPLEMENTED MODULES

Eryılmaz F., Sozen E. O.

HONAM MATHEMATICAL JOURNAL, cilt.45, sa.1, ss.146-159, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.5831/hmj.2023.45.1.146
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.146-159
  • Anahtar Kelimeler: co-coatomic submodule, ??-co-coatomically supplemented mod-ule, co-coatomically 6-perfect module, SEMIPERFECT, RINGS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we define circle plus delta-co-coatomically supplemented and co-coatomically 6-semiperfect modules as a strongly notion of circle plus-co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou's radical. We say that a module A is circle plus delta-co-coatomically supplemented if each co-coatomic submodule of A has a 6-supplement in A which is a direct summand of A. And a module A is co-coatomically 6-semiperfect if each coatomic factor module of A has a projective 6-cover. Also we define co-coatomically amply 6-supplemented modules and we examined the basic properties of these modules. Further-more, we give a ring characterization for our modules. In particular, a ring R is 6-semiperfect if and only if each free R-module is co-coatomically 6-semiperfect.