Almost δ-primary ideals in a commutative ring
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 c...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2025-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3871_4158d6211bfb8794a5a8e5137a71de72.pdf |
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| _version_ | 1850116653481721856 |
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| author | Jaya Nehete Yogita Patil |
| author_facet | Jaya Nehete Yogita Patil |
| author_sort | Jaya Nehete |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bc8a757cf4ce43dc8095ab526bc688c4 |
| institution | OA Journals |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-bc8a757cf4ce43dc8095ab526bc688c42025-08-20T02:36:16ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662025-06-01141364610.22098/jhs.2025.15749.10433871Almost δ-primary ideals in a commutative ringJaya Nehete0Yogita Patil1Department of Engineering Science And Humanities, JSPM's Rajarshi Shahu College of Engineering Tathawade, Pune, IndiaDepartment of Engineering science, Shreeyash college of engineering and technology, Chhatrapati SambhajinagarIn 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.https://jhs.uma.ac.ir/article_3871_4158d6211bfb8794a5a8e5137a71de72.pdf$\delta$-primary idealweakly $\delta$-primary idealalmost $\delta$-primary ideal2-potent $\delta$-primary ideal$\phi$-$\delta$-primary ideal |
| spellingShingle | Jaya Nehete Yogita Patil Almost δ-primary ideals in a commutative ring Journal of Hyperstructures $\delta$-primary ideal weakly $\delta$-primary ideal almost $\delta$-primary ideal 2-potent $\delta$-primary ideal $\phi$-$\delta$-primary ideal |
| title | Almost δ-primary ideals in a commutative ring |
| title_full | Almost δ-primary ideals in a commutative ring |
| title_fullStr | Almost δ-primary ideals in a commutative ring |
| title_full_unstemmed | Almost δ-primary ideals in a commutative ring |
| title_short | Almost δ-primary ideals in a commutative ring |
| title_sort | almost δ primary ideals in a commutative ring |
| topic | $\delta$-primary ideal weakly $\delta$-primary ideal almost $\delta$-primary ideal 2-potent $\delta$-primary ideal $\phi$-$\delta$-primary ideal |
| url | https://jhs.uma.ac.ir/article_3871_4158d6211bfb8794a5a8e5137a71de72.pdf |
| work_keys_str_mv | AT jayanehete almostdprimaryidealsinacommutativering AT yogitapatil almostdprimaryidealsinacommutativering |