Z-Small Monoform Modules

In this paper, a new proper generalization of small monoform modules, namely Z-Small monoform modules is introduced and studied. An R-module C is called Z-small monoform module (ZSM module; for short), if every non-zero partial endomorphism of C has Z-small kernel.

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Publication Details

Journal
Iraqi Journal of Science
Published
2024-12-30
DOI
https://doi.org/10.24996/ijs.2024.65.12.24
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
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article

Z-Small Monoform Modules

Muntaha Khudhair Abbas, Inaam M. A. Hadi
Iraqi Journal of Science
Rings, Modules, and Algebras
article

Z-Small Monoform Modules

Muntaha Khudhair Abbas, Inaam M. A. Hadi
article en

Abstract

In this paper, a new proper generalization of small monoform modules, namely Z-Small monoform modules is introduced and studied. An R-module C is called Z-small monoform module (ZSM module; for short), if every non-zero partial endomorphism of C has Z-small kernel.

Iraqi Journal of Science
University of Baghdad (IQ), Middle Technical University (IQ)
Openalex Percentile: Top 56%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Z-Small Monoform Modules — Muntaha Khudhair Abbas, Inaam M. A. Hadi · Iraqi Journal of Science (2024) | TGRS Research Map | TGRS