ON GENERALIZATION OF circle plus-COFINITELY SUPPLEMENTED MODULES

Nisanci, B.; Pancar, A.

doi:10.1007/s11253-010-0344-4

ON GENERALIZATION OF circle plus-COFINITELY SUPPLEMENTED MODULES

Nisanci B., Pancar A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.62, sa.2, ss.203-209, 2010 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 62 Sayı: 2
Basım Tarihi: 2010
Doi Numarası: 10.1007/s11253-010-0344-4
Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.203-209
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We study the properties of circle plus-cofinitely radical supplemented modules, or, briefly, cgs(circle plus)-modules. It is shown that a module with summand sum property (SSP) is cgs(circle plus) if and only if M/w Loc(circle plus) M (w Loc(circle plus) M is the sum of all w-local direct summands of a module M) does not contain any maximal submodule, that every cofinite direct summand of a UC-extending cgs(circle plus)-module is cgs(circle plus), and that, for any ring R, every free R-module is cgs(circle plus) if and only if R is semiperfect.