THE PROPER CLASS GENERATED BY WEAK SUPPLEMENTS
| dc.contributor.author | Rafail Alizade | |
| dc.contributor.author | Yilmaz M. Demirci | |
| dc.contributor.author | Yilmaz Durgun | |
| dc.contributor.author | Dilek Pusat | |
| dc.contributor.author | Pusat, Dilek | |
| dc.contributor.author | Durǧun, Yilmaz | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Demirci, Yilmaz M. | |
| dc.date | JAN 2 | |
| dc.date.accessioned | 2025-10-06T16:21:04Z | |
| 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. | |
| dc.description.sponsorship | 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. | |
| dc.description.sponsorship | TUBITAK [107T709] | |
| dc.description.sponsorship | TÜBİTAK, (Project-107T709) | |
| dc.description.sponsorship | Work supported by TUBITAK Project-107T709. | |
| dc.identifier.doi | 10.1080/00927872.2012.699567 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.scopus | 2-s2.0-84886412650 | |
| dc.identifier.uri | http://dx.doi.org/10.1080/00927872.2012.699567 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6701 | |
| dc.identifier.uri | https://doi.org/10.1080/00927872.2012.699567 | |
| dc.language.iso | English | |
| dc.publisher | TAYLOR & FRANCIS INC | |
| dc.relation.ispartof | Communications in Algebra | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| 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, Primary 18G25, Secondary 13C60, 16D90 | |
| dc.subject | MODULES | |
| dc.subject | Coatomic Supplement Submodule | |
| dc.subject | Proper Class of Short Exact Sequences | |
| dc.subject | Weak Supplement Submodule | |
| dc.subject | Coprojective Modules | |
| dc.subject | Primary 18G25 | |
| dc.subject | 16D90 | |
| dc.subject | Coinjective Modules | |
| dc.subject | Secondary 13C60 | |
| dc.subject | Extended Weak Supplement | |
| dc.subject | Coatomic Modules | |
| dc.title | THE PROPER CLASS GENERATED BY WEAK SUPPLEMENTS | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | DURĞUN, YILMAZ/0000-0002-1230-8964 | |
| gdc.author.id | Demirci, Yılmaz Mehmet/0000-0003-3802-4211 | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
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| gdc.author.wosid | DURĞUN, YILMAZ/C-3131-2018 | |
| gdc.author.wosid | Alizade, Refail/AAW-1211-2020 | |
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| gdc.description.departmenttemp | [Alizade, Rafail] Yasar Univ, Dept Math, Izmir, Turkey; [Demirci, Yilmaz M.; Durgun, Yilmaz; Pusat, Dilek] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey | |
| gdc.description.endpage | 72 | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 56 | |
| gdc.description.volume | 42 | |
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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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| gdc.virtual.author | Pusat, Dilek | |
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| person.identifier.orcid | DURGUN- YILMAZ/0000-0002-1230-8964, Demirci- Yilmaz Mehmet/0000-0003-3802-4211, Alizade- Refail/0000-0003-4444-9136 | |
| project.funder.name | TUBITAK [107T709] | |
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