Rad-circle plus-Supplemented Modules and Cofinitely Rad-circle plus-Supplemented Modules

Ecevit S., Kosan M. T., Tribak R.

ALGEBRA COLLOQUIUM, cilt.19, sa.4, ss.637-648, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1142/s1005386712000508
  • Dergi Adı: ALGEBRA COLLOQUIUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.637-648
  • Anahtar Kelimeler: cofinite submodules, local modules, w-local modules, (cofinitely) Rad-circle plus-supplemented modules
  • Gazi Üniversitesi Adresli: Hayır

Özet

A module M is called (cofinitely) Rad-circle plus-supplemented if every (cofinite) submodule of M has a Rad-supplement that is a direct summand of M. We prove that if M is a coatomic cofinitely Rad-circle plus-supplemented module, then M is an irredundant sum of local direct summands. We show that the classes of cofinitely Rad-circle plus-supplemented modules and Rad-circle plus-supplemented modules are closed under finite direct sums. We also show that every direct summand of a weak duo (cofinitely) Rad-circle plus-supplemented module is (cofinitely) Rad-circle plus-supplemented.