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Journal of Interdisciplinary Mathematics

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502
CiteScore 2025: 1.9 (Q2)

CiteScore 2025: 1.9 (Q2)

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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Journal of Interdisciplinary Mathematics
Open Access Research Article

Approximately maximal submodules

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pp. 1577–1582Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1583XML
Published Online:
29 Nov 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1583
Pages:
1577–1582

Abstract

As a generalization of the maximal sub-module concept, we introduce and investigate the idea of approximately maximal sub-modules in this paper, in which an actual sub-module S of D is named approximately maximal, if whenever a sub-module S ⊆ K ⊆ D implies that K + Soc(D) = D. Numerous features of maximal sub-modules are taken into consideration. Additionally, the term AP-module refers to a module in which each suitable sub-module is roughly maximal. Also, we examine certain characteristics, characterizations, and examples about this class of these modules.

Keywords

Maximal sub-modulesNearly maximal sub-modulesAlmost maximal sub-modules and semi-maximal sub-modules

Subject Classifications

16P7016P60

References

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