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arXiv · 2405.16332

Phi Classical 1-Absorbing Prime Submodule

Zeynep Yılmaz Uçar·Bayram Ali Ersoy·Ünsal Tekir·Ece Yetkin Çelikel·Serkan Onar
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Abstract

In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule N of M is a phi classical 1-absorbing prime submodule if whenever non units a, b, c belongs to R and m belongs to M with abcm belongs to N and does not belong to phi(N), then abm belongs to N or cm belongs to N. Many properties and characterizations of phi classical 1-absorbing prime submodules are given.

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Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir, Ece Yetkin Çelikel, Serkan Onar. 2024-05-25. Phi Classical 1-Absorbing Prime Submodule. https://arxiv.org/abs/2405.16332

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