Publication: Classical 2-Absorbing Submodules of Modules over Commutative Rings
| dc.contributor.authors | Mostafanasab, Hojjat; Tekir, Unsal; Oral, Kursat Hakan | |
| dc.date.accessioned | 2022-03-13T12:51:15Z | |
| dc.date.accessioned | 2026-01-11T08:06:14Z | |
| dc.date.available | 2022-03-13T12:51:15Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this article, all rings are commutative with nonzero identity. Let M be an R- module. A proper submodule N of M is called a classical prime submodule, if for each m is an element of M and elements a, b is an element of R, abm is an element of N implies that am is an element of N or bm is an element of N. We introduce the concept of classical 2- absorbing submodules as a generalization of classical prime submodules. We say that a proper submodule N of M is a classical 2-absorbing submodule if whenever a, b, c is an element of R and m is an element of M with abcm is an element of N, then abm is an element of N or acm is an element of N or bcm is an element of N. | |
| dc.identifier.doi | doiWOS:000369940300010 | |
| dc.identifier.issn | 1307-5543 | |
| dc.identifier.uri | https://hdl.handle.net/11424/238453 | |
| dc.identifier.wos | WOS:000369940300010 | |
| dc.language.iso | eng | |
| dc.publisher | EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS | |
| dc.relation.ispartof | EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Classical prime submodule | |
| dc.subject | Classical 2-absorbing submodule | |
| dc.subject | PRIME SUBMODULES | |
| dc.subject | PRIMARY IDEALS | |
| dc.title | Classical 2-Absorbing Submodules of Modules over Commutative Rings | |
| dc.type | article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 430 | |
| oaire.citation.issue | 3 | |
| oaire.citation.startPage | 417 | |
| oaire.citation.title | EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | |
| oaire.citation.volume | 8 |