Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7821
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dc.contributor.authorAlagöz, Yusuf-
dc.contributor.authorBüyükaşık, Engin-
dc.date.accessioned2020-07-18T03:35:12Z-
dc.date.available2020-07-18T03:35:12Z-
dc.date.issued2020-
dc.identifier.issn0219-4988-
dc.identifier.issn1793-6829-
dc.identifier.urihttps://doi.org/10.1142/S021949882150095X-
dc.identifier.urihttps://hdl.handle.net/11147/7821-
dc.description.abstractWeakening 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.isoenen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.ispartofJournal of Algebra and its Applicationsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInjective modulesen_US
dc.subjectMax-projective modulesen_US
dc.subjectRings (Algebra)en_US
dc.subjectR -projective modulesen_US
dc.titleMax-projective modulesen_US
dc.typeArticleen_US
dc.institutionauthorAlagöz, Yusuf-
dc.institutionauthorBüyükaşık, Engin-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.wosWOS:000649081300004en_US
dc.identifier.scopus2-s2.0-85085366957en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1142/S021949882150095X-
dc.relation.doi10.1142/S021949882150095Xen_US
dc.coverage.doi10.1142/S021949882150095Xen_US
local.message.claim2022-09-05T11:59:09.383+0300|||rp01503|||submit_approve|||dc_contributor_author|||None*
dc.identifier.wosqualityQ3-
dc.identifier.scopusqualityQ2-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept01. Izmir Institute of Technology-
crisitem.author.dept04.02. 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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