Modules which are self-p-injective relative to projection invariant submodules

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KARA Y., TERCAN A.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.25, no.1, pp.117-129, 2017 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 25 Issue: 1
• Publication Date: 2017
• Doi Number: 10.1515/auom-2017-0010
• Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.117-129
• Hacettepe University Affiliated: Yes

Abstract

In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI-extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules.