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

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Open Access Research Article

Small approximately 2-absorbing submodules and modules

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pp. 43–49Vol. 28Issue 1February 2025DOI: 10.47974/JIM-1774XML
Received:
06 Jun 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1774
Pages:
43–49

Abstract

In this paper, we introduce new classes of submodules and modules named small approximately 2-absorbing submodules and modules which are new generalization of small prime submodule and small prime module. A proper submodule N of M is said to be small approximately 2-absorbing submodules (res Small approximately 2-absorbing Module) if when a, b ∈ R and < m > ≪M, abm ∈  N implies that a2 ∈N or b2 m∈N or a2 b2∈ (N : M) (res if < 0 > is a small approximately 2-absorbing submodule of M, such that if abm ∈ <0> and

Keywords

Subject Classifications

13A1513A0513G05

References

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