Some Variations of δ-Supplemented Modules with Regard to a Hereditary Torsion Theory

Jian Tian, Esra Ozturk Sozen, Ali Reza Moniri Hamzekolaee and Asad Ullah

Journal of Mathematics, 2023, vol. 2023, 1-7

Abstract: In present work, we describe and investigate torsion theoretic versions of δ-supplemented modules via a hereditary torsion theory τ. With this aim, first, we define δτ-small submodules. On this basis, the concepts of δτ-lifting modules, δτ-supplemented modules, and amply δτ-supplemented modules and their fundamental properties are given, respectively. Furthermore, we present δτ-semiperfect modules and give a characterization for them via (amply) δτ-supplemented modules. Even we supply binary relations between these new module classes.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9968793

DOI: 10.1155/2023/9968793

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