Goldie-Rad-Supplemented Modules
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.22, sa.3, ss.205-218, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 3
- Basım Tarihi: 2014
- Doi Numarası: 10.2478/auom-2014-0059
- Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.205-218
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper we introduce beta** relation on the lattice of submodules of a module M. We say that submodules X, Y of M are beta** equivalent, X beta**Y, if and only if X+Y/X subset of Rad(M)+X/X and X+Y/Y subset of Rad(M)+Y/Y We show that the beta** relation is an equivalence relation. We also investigate some general properties of this relation. This relation is used to define and study classes of Goldie-Rad-supplemented and Rad-H-supplemented modules. We prove M = A circle plus B is Goldie-Rad-supplemented if and only if A and B are Goldie-Rad-supplemented.