Article
| Title: | On $S$-2-absorbing quasi primary ideals of commutative rings (English) |
| Author: | El Khair, Imane |
| Author: | Mahdou, Najib |
| Author: | Moutui, Moutu Abdou Salam |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 3 |
| Year: | 2026 |
| Pages: | 991-1008 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $R$ be a commutative ring with identity and $S$ be a multiplicative subset of $R$. We introduce the notion of $S$-2-absorbing quasi primary ideal, which is a generalization of quasi-$S$-primary ideal. We define a proper ideal $I$ of $R$ to be $S$-2-absorbing quasi primary if $\sqrt {I}$ is an $S$-2-absorbing ideal of $R$. Additionally, we define a new class of rings, called $S$-2-$ABQ$ ring. A number of results concerning $S$-2-absorbing quasi primary ideals and $S$-2-$ABQ$ rings are presented. Examples and key results are provided to illustrate these concepts. (English) |
| Keyword: | $S$-2-absorbing quasi primary ideal |
| Keyword: | quasi-$S$-primary ideal |
| Keyword: | $S$-2-absorbing ideal |
| Keyword: | trivial ring extension |
| Keyword: | amalgamated algebra |
| MSC: | 13A15 |
| MSC: | 13B99 |
| MSC: | 13E15 |
| DOI: | 10.21136/CMJ.2026.0497-25 |
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| Date available: | 2026-09-11T13:16:42Z |
| Last updated: | 2026-09-14 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153739 |
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