Modules whose p -submodules are direct summands

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

In this article we deal with modules with the property that all p -submodules are direct summands. In contrast to CLS -modules, it is shown that the former property is closed under nite direct sums, but it is not inherited by direct summands. Hence we focus on when the direct summands of aforementioned modules enjoy the property. Moreover, we characterize the forenamed class of modules in terms of lifting homomorphisms.

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