Unique decompositions into w-ideals for strong Mori domains
| dc.contributor.author | Hamdi, Haleh | |
| dc.contributor.author | Ay Saylam, Başak | |
| dc.contributor.author | Gürbüz, Ezgi | |
| dc.date.accessioned | 2023-02-05T13:24:10Z | |
| dc.date.available | 2023-02-05T13:24:10Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | A commutative ring R has the unique decomposition into ideals (UDI) property if, for any R-module that decomposes into a finite direct sum of indecomposable ideals, this decomposition is unique up to the order and isomorphism classes of the indecomposable ideals. In [P. Goeters and B. Olberding, Unique decomposition into ideals for Noetherian domains, J. Pure Appl. Algebra 165 (2001) 169-182], the UDI property has been characterized for Noetherian integral domains. In this paper, we aim to study the UDI-like property for strong Mori domains; domains satisfying the ascending chain condition on w-ideals. | en_US |
| dc.description.sponsorship | The authors would like to thank the referee for his/her comments and suggestions. This paper was completed while Haleh Hamdi was visiting.Izmir Institute of Technology. She would like to thank people in the Department of Mathematics for their hospitality. Also, Haleh Hamdi disclosed receipt of the following financial support for the research: This research was in part supported by a grant from IPM (No. 14001300113). | en_US |
| dc.identifier.doi | 10.1142/S021949882350250X | |
| dc.identifier.issn | 0219-4988 | |
| dc.identifier.issn | 1793-6829 | |
| dc.identifier.scopus | 2-s2.0-85138140778 | |
| dc.identifier.uri | https://doi.org/10.1142/S021949882350250X | |
| dc.identifier.uri | https://hdl.handle.net/11147/12901 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publishing | en_US |
| dc.relation.ispartof | Journal of Algebra and its Applications | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | UDI property | en_US |
| dc.subject | Strong Mori domain | en_US |
| dc.subject | Modules (Algebra) | en_US |
| dc.title | Unique decompositions into w-ideals for strong Mori domains | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 22 | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W4290603317 | |
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