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Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access Β·Peer-reviewedΒ·ISSN (Online): 2169-0065Β·ISSN (Print): 0972-0529

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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

Endo-greatly bounded modules and module homomorphisms

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pp. 2083–2087Vol. 29Issue 5May 2026DOI: 10.47974/JDMSC-2680 Crossmark XML
Received:
01 Nov 2025
Published Online:
22 May 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2680
Pages:
2083–2087

Abstract

The class of π‘šπ‘œπ‘‘π‘’π‘™π‘’s is introduced in this paper. We study and discuss the classes for the π‘šπ‘œπ‘‘π‘’π‘™π‘’, named Endo-Greatly Bounded module, which is briefly introduced as (Endo-G.B. π‘šπ‘œπ‘‘π‘’π‘™π‘’s) and π‘šπ‘œπ‘‘π‘’π‘™π‘’s Homomorphism. It also gives some examples and properties. Moreover, we studied relations among this type of π‘šπ‘œπ‘‘π‘’π‘™π‘’s and certain π‘šπ‘œπ‘‘π‘’π‘™π‘’s, such as Prime π‘šπ‘œπ‘‘π‘’π‘™π‘’s, compressible π‘šπ‘œπ‘‘π‘’π‘™π‘’s, monoform π‘šπ‘œπ‘‘π‘’π‘™π‘’s, retractable π‘šπ‘œπ‘‘π‘’π‘™π‘’s, and quasi-Dedekind π‘šπ‘œπ‘‘π‘’π‘™π‘’s. We present results that are proven to explain this relationship. In this paper, compressible and monoform π‘šπ‘œπ‘‘π‘’π‘™π‘’s play a major role in order to obtain Β Endo-G.B. π‘šπ‘œπ‘‘π‘’π‘™π‘’s. Also, retractable π‘šπ‘œπ‘‘π‘’π‘™π‘’s and a quasi-Dedekind π‘šπ‘œπ‘‘π‘’π‘™π‘’ are both related to Β Endo-G.B. π‘šπ‘œπ‘‘π‘’π‘™π‘’s, we shall show this relationship.

Keywords

Endo-greatly bounded moduleCompressible modulesQuasi-dedekind modules

Subject Classifications

Primary 16D10Secondary 16D90

References

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[4] M. S. Murad and B. N. Shihab, β€œEndo-restricted bounded submodΒ­ules related to prime submodules and scalar modules,” AIP Conference Proceedings, vol. 3264, no. 1, p. 050087 (Mar. 2025).
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