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Journal of Discrete Mathematical Sciences and Cryptography

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

2J-ideals in commutative rings

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pp. 321–331Vol. 28Issue 2March 2025DOI: 10.47974/JDMSC-1868 Crossmark XML
Received:
07 May 2024
Published Online:
21 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1868
Pages:
321–331

Abstract

The notion of 2J-ideals in commutative rings is presented in this article. The symbols N(A) and J(A) stand for A’s nil-radical and Jacobson radicals, respectively. In this paper, we present and investigate a new Extension of J-ideals named 2J-ideals. A proper ideal I1 of a ring A is named a 2J-ideal if every time a, b ∈ A with a, b ∈ I1  and a ∉ J(A), then b2  ∈ I1. We investigate the relationships between this class of ideals and several other classes of ideals, as well as many of its characteristics and instances.

Keywords

R-ideals2J-idealsCommutative rings

Subject Classifications

13A1513A18

References

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