Work

Square-difference factor absorbing primary ideals of commutative rings

Year: 2025

Type: article

Abstract: Let $R$ be a commutative ring with identity. A proper ideal $I$ of a ring $R$ is called a square-difference factor absorbing primary ideal of $R$ if for $a,b\in R$, whenever $a^{2}-b^{2}\in I$, then $a+b\in\sqrt{I}$ or $a-b\in I$. Several characterizations and properties of this class of ideals are presented.Various examples are provided to illustrate the obtained results and demonstrate the applicability of our findings. Furthermore, the properties of this class of ideals are investigated in extensions of rings.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500824

Authors: Hani A. Khashan, Ece Yetkin Celikel, Unsal Tekir

Institutions: Al al-Bayt University, Hasan Kalyoncu University, Marmara University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415978592

FWCI: 14.41

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Cited by: 4

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