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2-Absorbing coprimary submodules

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Abstract

The purpose of this paper is to introduce the concept of 2-absorbing coprimary submodule of a module as a generalization of strongly 2-absorbing second submodules and investigate some properties of this submodule class. We study the structure of 2-absorbing coprimary submodules of comultiplication modules, fully coidempotent modules and modules over a Noetherian ring. We also investigate some interrelations with 2-absorbing coprimary submodules, strongly 2-absorbing second submodules and strongly 2-absorbing secondary submodules.

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  1. Seçil Çeken Gezen

    Present address: Department of Mathematics, Trakya University, Edirne, Turkey

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    1. Seçil Çeken Gezen
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    Gezen, S.Ç. 2-Absorbing coprimary submodules. Beitr Algebra Geom 62, 919–926 (2021). https://doi.org/10.1007/s13366-020-00554-z

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