Principally Goldie*-Lifting Modules

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GÜROĞLU A. T., Meriç E.

Ukrainian Mathematical Journal, vol.70, no.7, pp.1042-1051, 2018 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 70 Issue: 7
• Publication Date: 2018
• Doi Number: 10.1007/s11253-018-1550-8
• Journal Name: Ukrainian Mathematical Journal
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1042-1051
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: Yes

Abstract

A module M is called a principal Goldie*-lifting if, for every proper cyclic submodule X of M, there is a direct summand D of M such that Xβ*D. We focus our attention on principally Goldie*-lifting modules as a generalization of lifting modules. Various properties of these modules are presented.