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Journal of Discrete Mathematical Sciences and Cryptography cover

Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·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

Small 2-prime sub-modules

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pp. 1331–1336Vol. 28Issue 4-BJune 2025DOI: 10.47974/JDMSC-2271 Crossmark XML
Received:
04 Feb 2025
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2271
Pages:
1331–1336

Abstract

For an D-module (abbreviated D-mod) W and a commutative ring (with identity) D. we introduce the notion of small 2-prime sub-module (S-2-P sub-module; for short ) as a generalization of 2-prime sub-module. We prove many properties for this kind of sub-modules, among these results we prove if V s proper sub-module of a module W over a ring D, then V is small 2-prime sub-module if and only if [V:W (d)] = V is a small 2-prime sub-module of W, for each d ∈ DD and d2∈[V:D W].

Keywords

Prime sub-module2-prime sub-moduleSmall prime sub-moduleSmall 2-prime sub-module

Subject Classifications

11R4416N60

References

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