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https://hdl.handle.net/11147/7821
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DC Field | Value | Language |
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dc.contributor.author | Alagöz, Yusuf | - |
dc.contributor.author | Büyükaşık, Engin | - |
dc.date.accessioned | 2020-07-18T03:35:12Z | - |
dc.date.available | 2020-07-18T03:35:12Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 0219-4988 | - |
dc.identifier.issn | 1793-6829 | - |
dc.identifier.uri | https://doi.org/10.1142/S021949882150095X | - |
dc.identifier.uri | https://hdl.handle.net/11147/7821 | - |
dc.description.abstract | Weakening the notion of R-projectivity, a right R-module M is called max-projective provided that each homomorphism f: M ? R/I, where I is any maximal right ideal, factors through the canonical projection : R ? R/I. We study and investigate properties of max-projective modules. Several classes of rings whose injective modules are R-projective (respectively, max-projective) are characterized. For a commutative Noetherian ring R, we prove that injective modules are R-projective if and only if R = A × B, where A is QF and B is a small ring. If R is right hereditary and right Noetherian then, injective right modules are max-projective if and only if R = S × T, where S is a semisimple Artinian and T is a right small ring. If R is right hereditary then, injective right modules are max-projective if and only if each injective simple right module is projective. Over a right perfect ring max-projective modules are projective. We discuss the existence of non-perfect rings whose max-projective right modules are projective. © 2020 World Scientific Publishing Company. | en_US |
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 | Injective modules | en_US |
dc.subject | Max-projective modules | en_US |
dc.subject | Rings (Algebra) | en_US |
dc.subject | R -projective modules | en_US |
dc.title | Max-projective modules | en_US |
dc.type | Article | en_US |
dc.institutionauthor | Alagöz, Yusuf | - |
dc.institutionauthor | Büyükaşık, Engin | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.wos | WOS:000649081300004 | en_US |
dc.identifier.scopus | 2-s2.0-85085366957 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1142/S021949882150095X | - |
dc.relation.doi | 10.1142/S021949882150095X | en_US |
dc.coverage.doi | 10.1142/S021949882150095X | en_US |
local.message.claim | 2022-09-05T11:59:09.383+0300 | * |
local.message.claim | |rp01503 | * |
local.message.claim | |submit_approve | * |
local.message.claim | |dc_contributor_author | * |
local.message.claim | |None | * |
dc.identifier.wosquality | Q3 | - |
dc.identifier.scopusquality | Q3 | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.dept | 01. Izmir Institute of Technology | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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File | Size | Format | |
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10.1142@S021949882150095X.pdf | 400.87 kB | Adobe PDF | View/Open |
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