Publication: On strongly dccr∗ modules
| dc.contributor.authors | Naji O.A., Özen M., Tekir U. | |
| dc.date.accessioned | 2022-03-15T02:17:18Z | |
| dc.date.accessioned | 2026-01-11T06:02:48Z | |
| dc.date.available | 2022-03-15T02:17:18Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this paper, we introduce and study the concept of strongly dccr∗ modules. Strongly dccr∗ condition generalizes the class of Artinian modules and it is stronger than dccr∗ condition. Let R be a commutative ring with nonzero identity and M a unital R-module. A module M is said to be strongly dccr∗ if for every submodule N of M and every sequence of elements (ai) of R, the descending chain of submodules a1N ⊇ a1a2N ⊇ ⋯ ⊇ a1a2⋯anN ⊇⋯ of M is stationary. We give many examples and properties of strongly dccr∗. Moreover, we characterize strongly dccr∗ in terms of some known class of rings and modules, for instance in perfect rings, strongly special modules and principally cogenerately modules. Finally, we give a version of Union Theorem and Nakayama's Lemma in light of strongly dccr∗ concept. © 2022 World Scientific Publishing Company. | |
| dc.identifier.doi | 10.1142/S021949882250195X | |
| dc.identifier.issn | 2194988 | |
| dc.identifier.uri | https://hdl.handle.net/11424/248299 | |
| dc.language.iso | eng | |
| dc.publisher | World Scientific | |
| dc.relation.ispartof | Journal of Algebra and its Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Nakayama's Lemma | |
| dc.subject | perfect rings | |
| dc.subject | Strongly dccr∗ modules | |
| dc.subject | strongly special modules | |
| dc.title | On strongly dccr∗ modules | |
| dc.type | article | |
| dspace.entity.type | Publication | |
| oaire.citation.title | Journal of Algebra and its Applications |