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

Kara, YELİZ; TERCAN, ADNAN

doi:10.1515/auom-2017-0010

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

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.25, sa.1, ss.117-129, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 25 Sayı: 1
Basım Tarihi: 2017
Doi Numarası: 10.1515/auom-2017-0010
Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.117-129
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2017, Ovidius University. All rights reserved.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.