Khashan, H. A.; Yetkin Çelikel, E.; Tekir, U. Square-Difference Factor Absorbing Primary Ideals of Commutative Rings. Preprints2024, 2024081301. https://doi.org/10.20944/preprints202408.1301.v1
APA Style
Khashan, H. A., Yetkin Çelikel, E., & Tekir, U. (2024). Square-Difference Factor Absorbing Primary Ideals of Commutative Rings. Preprints. https://doi.org/10.20944/preprints202408.1301.v1
Chicago/Turabian Style
Khashan, H. A., Ece Yetkin Çelikel and Unsal Tekir. 2024 "Square-Difference Factor Absorbing Primary Ideals of Commutative Rings" Preprints. https://doi.org/10.20944/preprints202408.1301.v1
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.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
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