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Almost δ-primary ideals in a commutative ring | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 خرداد 1404 اصل مقاله (1.61 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.15749.1043 | ||
| نویسندگان | ||
| Jaya Y Nehete1؛ Yogita Patil* 2 | ||
| 1Department of Engineering Science And Humanities, JSPM's Rajarshi Shahu College of Engineering Tathawade, Pune, India | ||
| 2Department of Engineering science, Shreeyash college of engineering and technology, Chhatrapati Sambhajinagar | ||
| چکیده | ||
| In this paper, our research sheds new light on generalized ideals, significantly advancing the state of knowledge in ring theory. We introduce an almost δ-primary ideal which unifies an almost prime ideal and an almost primary ideal. We also define and study the concept of a φ-δ-primary ideal in a commutative ring. Some characterizations of almost δ-primary ideal and n-almost δ-primary ideals are proved. | ||
| کلیدواژه‌ها | ||
| $\delta$-primary ideal؛ weakly $\delta$-primary ideal؛ almost $\delta$-primary ideal؛ 2-potent $\delta$-primary ideal؛ $\phi$-$\delta$-primary ideal | ||
| مراجع | ||
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[1] D. D. Anderson and M. Bataineh, Generalizations of prime ideals, Comm. Algebra, 36(2)(2008), 686-696. [2] D. D. Anderson and E. Smith, Weakly prime ideals, Houston J. Math., 29 (2003), 831-840. [3] A. Badawi and B. Fahid, On weakly 2-absorbing δ-primary idelas of commutative rings, Georgian Math. J., 27(4) (2018), 1–13. [4] M. Bataineh and S. Kuhail, Generalizations of primary ideals and submodules, Int. J. of Contemporary Math. Sci., 6 (2011), 811–824. [5] A. Darani and Yousefian , Generalizations of primary ideals in commutative rings, Novi Sad J. Math., 42(1) (2012),27-35. [6] B. Fahid and D. Zhao , 2-absorbing δ-primary idelas of commutative rings, Kyungpook Math. J., 57 (2017), 193-198. [7] C. S. Manjrekar and A.V. Bingi, ϕ-prime and ϕ-primary elements in multiplicative lattices, Hindawi Publishing Corporation Alg., (2014). [8] S. K. Nimbhorkar and J. Y. Nehete, Generalizations of δ-primary elements in multiplicative lattices.,Palest. J. Math. 10(1) (2021), 78–85. [9] D. Zhao, δ-primary ideals of commutative rings, Kyungpook Math. J., 41 (2001), 17-22. | ||
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