Rings With Modules Having a Restricted Injectivity Domain
| dc.contributor.author | Demirci, Yilmaz Mehmet | |
| dc.contributor.author | Turkmen, Burcu Nisanci | |
| dc.contributor.author | Turkmen, Ergul | |
| dc.contributor.author | Nişancı Türkmen, Burcu | |
| dc.date.accessioned | 2025-09-25T10:56:34Z | |
| dc.date.available | 2025-09-25T10:56:34Z | |
| dc.date.issued | 2020 | |
| dc.description | Demirci, Yilmaz Mehmet/0000-0003-3802-4211 | en_US |
| dc.description.abstract | We introduce modules whose injectivity domains are contained in the class of modules with zero radical and call them working-class. This notion gives a generalization of poor modules that have minimal injectivity domain. Semisimple working-class modules always exist for arbitrary rings whereas their predecessors do not. We investigate the rings over which every module is either injective or working-class. Right weakly V-rings are examples of these rings. Moreover, we study the existence of working-class simple modules and show that if there is a projective working-class simple right module, then the ring is a right GV-ring. | en_US |
| dc.description.sponsorship | Scientific Research Project in Amasya University [FMB-BAP 18-0367] | en_US |
| dc.description.sponsorship | This work is supported by Scientific Research Project FMB-BAP 18-0367 in Amasya University. | en_US |
| dc.description.sponsorship | Amasya Üniversitesi, (FMB-BAP 18-0367) | |
| dc.identifier.doi | 10.1007/s40863-019-00153-4 | |
| dc.identifier.issn | 1982-6907 | |
| dc.identifier.issn | 2316-9028 | |
| dc.identifier.scopus | 2-s2.0-85073920359 | |
| dc.identifier.uri | https://doi.org/10.1007/s40863-019-00153-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/4580 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer International Publishing AG | en_US |
| dc.relation.ispartof | Sao Paulo Journal of Mathematical Sciences | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Injective Module | en_US |
| dc.subject | Poor Module | en_US |
| dc.subject | Working-Class Module | en_US |
| dc.subject | Good Ring | en_US |
| dc.subject | WV-Ring | en_US |
| dc.title | Rings With Modules Having a Restricted Injectivity Domain | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Demirci, Yilmaz Mehmet/0000-0003-3802-4211 | |
| gdc.author.id | NİŞANCI TÜRKMEN, BURCU/0000-0001-7900-0529 | |
| gdc.author.scopusid | 36674901500 | |
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| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Demirci, Yilmaz Mehmet] Abdullah Gul Univ, Sch Engn, Dept Engn Sci, Kayseri, Turkey; [Turkmen, Burcu Nisanci] Amasya Univ, Fac Art & Sci, Dept Stat, Amasya, Turkey; [Turkmen, Ergul] Amasya Univ, Fac Art & Sci, Dept Math, Amasya, Turkey | en_US |
| gdc.description.endpage | 326 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 312 | en_US |
| gdc.description.volume | 14 | en_US |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2978049082 | |
| gdc.identifier.wos | WOS:000488912300001 | |
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| gdc.oaire.keywords | poor module | |
| gdc.oaire.keywords | Working-class module | |
| gdc.oaire.keywords | good ring | |
| gdc.oaire.keywords | WV-ring | |
| gdc.oaire.keywords | Injective modules, self-injective associative rings | |
| gdc.oaire.keywords | Good ring; WV-ring | |
| gdc.oaire.keywords | Poor module | |
| gdc.oaire.keywords | Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) | |
| gdc.oaire.keywords | Injective module | |
| gdc.oaire.keywords | working-class module | |
| gdc.oaire.keywords | injective module | |
| gdc.oaire.popularity | 3.541291E-9 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Demirci, Yılmaz Mehmet | |
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