Modules whose p-submodules are direct summands
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Date
2017-03-03
Authors
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Journal ISSN
Volume Title
Publisher
TÜBİTAK
Abstract
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 finite 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.
Description
Keywords
Mathematics, Extending module, CLS modules, Pi-extending module
Citation
Kara, Y. (2018). ''Modules whose p-submodules are direct summands''. Turkish Journal of Mathematics, 42(1), 28-33.