The Proper Class Generated by Weak Supplements
| dc.contributor.author | Refail Alizade | |
| dc.contributor.author | Yılmaz Mehmet Demirci | |
| dc.contributor.author | Yılmaz Durǧun | |
| dc.contributor.author | Dilek Pusat | |
| dc.date.accessioned | 2025-10-06T17:52:44Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We show that for hereditary rings the smallest proper classes containing respectively the classes of short exact sequences determined by small submodules submodules that have supplements and weak supplement submodules coincide. Moreover we show that this class can be obtained as a natural extension of the class determined by small submodules. We also study injective projective coinjective and coprojective objects of this class. We prove that it is coinjectively generated and its global dimension is at most 1. Finally we describe this class for Dedekind domains in terms of supplement submodules. © 2014 Copyright Taylor and Francis Group LLC. © 2013 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1080/00927872.2012.699567 | |
| dc.identifier.issn | 15324125, 00927872 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84886412650&doi=10.1080%2F00927872.2012.699567&partnerID=40&md5=41eca39487acf8d83ef61a516a94bfe6 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/10061 | |
| dc.language.iso | English | |
| dc.relation.ispartof | Communications in Algebra | |
| dc.source | Communications in Algebra | |
| dc.subject | Coatomic Modules, Coatomic Supplement Submodule, Coinjective Modules, Coprojective Modules, Extended Weak Supplement, Proper Class Of Short Exact Sequences, Weak Supplement Submodule | |
| dc.title | The Proper Class Generated by Weak Supplements | |
| dc.type | Article | |
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| gdc.description.endpage | 72 | |
| gdc.description.startpage | 56 | |
| gdc.description.volume | 42 | |
| gdc.identifier.openalex | W2015541465 | |
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| gdc.oaire.keywords | Coatomic supplement submodule | |
| gdc.oaire.keywords | Coinjective modules | |
| gdc.oaire.keywords | Weak supplement submodule | |
| gdc.oaire.keywords | Extended weak supplement | |
| gdc.oaire.keywords | Coatomic modules | |
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| oaire.citation.endPage | 72 | |
| oaire.citation.startPage | 56 | |
| person.identifier.scopus-author-id | Alizade- Refail (6701555358), Demirci- Yılmaz Mehmet (36674901500), Durǧun- Yılmaz (55901583300), Pusat- Dilek (6507583625) | |
| project.funder.name | The authors express their gratitude to the referee for a careful reading of the article and for suggesting several improvements. Work supported by TÜBİTAK Project-107T709. | |
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| publicationvolume.volumeNumber | 42 | |
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