PS-hollow representations of modules over commutative rings

Jawad Abuhlail; Hamza Hroub

doi:10.1142/S0219498822502437

PS-hollow representations of modules over commutative rings

Jawad Abuhlail^*, Hamza Hroub

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let R be a commutative ring and M a nonzero R-module. We introduce the class of pseudo-strongly (PS)-hollow submodules of M. Inspired by the theory of modules with secondary representations, we investigate modules which can be written as finite sums of PS-hollow submodules. In particular, we provide existence and uniqueness theorems for the existence of minimal PS-hollow strongly representations of modules over Artinian rings.

Original language	English
Article number	2250243
Journal	Journal of Algebra and its Applications
Volume	21
Issue number	2
DOIs	https://doi.org/10.1142/S0219498822502437
State	Published - 1 Feb 2022

Bibliographical note

Publisher Copyright:
© 2022 World Scientific Publishing Company.

Keywords

Second submodules
pseudo-hollow-representation
pseudo-strongly-hollow module
second-representations

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498822502437

Cite this

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abstract = "Let R be a commutative ring and M a nonzero R-module. We introduce the class of pseudo-strongly (PS)-hollow submodules of M. Inspired by the theory of modules with secondary representations, we investigate modules which can be written as finite sums of PS-hollow submodules. In particular, we provide existence and uniqueness theorems for the existence of minimal PS-hollow strongly representations of modules over Artinian rings.",

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AB - Let R be a commutative ring and M a nonzero R-module. We introduce the class of pseudo-strongly (PS)-hollow submodules of M. Inspired by the theory of modules with secondary representations, we investigate modules which can be written as finite sums of PS-hollow submodules. In particular, we provide existence and uniqueness theorems for the existence of minimal PS-hollow strongly representations of modules over Artinian rings.

KW - Second submodules

KW - pseudo-hollow-representation

KW - pseudo-strongly-hollow module

KW - second-representations

UR - https://www.scopus.com/pages/publications/85116752663

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DO - 10.1142/S0219498822502437

M3 - Article

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JO - Journal of Algebra and its Applications

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ER -

PS-hollow representations of modules over commutative rings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this