2-nil ideals of commutative rings
| dc.contributor.author | Yetkin-Çelikel, Ece | |
| dc.contributor.institutionauthor | Yetkin-Çelikel, Ece | |
| dc.date.accessioned | 2023-01-17T10:54:58Z | |
| dc.date.available | 2023-01-17T10:54:58Z | |
| dc.date.issued | 2021 | en_US |
| dc.department | HKÜ, Mühendislik Fakültesi, Elektrik Elektronik Mühendisliği Bölümü | en_US |
| dc.description.abstract | The concept of 2-nil ideal of a commutative ring R is introduced, as an alternative to the (2, n)-ideals from [6]. We study its relationship with previously introduced classes of ideals, such as 2-absorbing ideals and n-ideals. Various properties and examples are presented. Our main result is a characterization of rings for which every 2-nil ideal is prime. We give a description of 2-nil ideals of general ZPI-rings. © 2021 Belgian Mathematical Society. All rights reserved. | en_US |
| dc.identifier.citation | Yetkin-Çelikel, E. (2021). 2-nil ideals of commutative rings. Bulletin of the Belgian Mathematical Society - Simon Stevin: Cilt, 28, s. 295-304. | en_US |
| dc.identifier.doi | 10.36045/j.bbms.201031 | |
| dc.identifier.endpage | 304 | en_US |
| dc.identifier.issn | 13701444 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.orcid | 0000-0001-6194-656X | en_US |
| dc.identifier.scopus | 2-s2.0-85122986896 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 295 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.11782/3097 | |
| dc.identifier.volume | 28 | en_US |
| dc.identifier.wos | WOS:000736276500008 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Belgian Mathematical Society | en_US |
| dc.relation.ispartof | Bulletin of the Belgian Mathematical Society - Simon Stevin | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | 2-absorbing primary ideal | en_US |
| dc.subject | 2-nil ideal | en_US |
| dc.subject | n-ideal | en_US |
| dc.subject | primary ideal | en_US |
| dc.title | 2-nil ideals of commutative rings | |
| dc.type | Article |
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