Closures Of Proper Classes -2
dc.contributor.author | Alizade, Rafail | |
dc.contributor.author | Demirci, Yilmaz Mehmet | |
dc.date.accessioned | 2025-03-23T19:16:58Z | |
dc.date.available | 2025-03-23T19:16:58Z | |
dc.date.issued | 2017 | |
dc.department | Sinop Üniversitesi | |
dc.description.abstract | For an integral domain R we consider the closures (formula persent) of a submodule M of an R-module N consisting of elements n of N with tn (formula persent) for some nonzero (formula persent) and its connections with usual closure M of M in N. Using these closures we study the closures (formula persent) of a proper class ℙ of short exact sequences and give a decomposition for the class of quasi-splitting short exact sequences of abelian groups into the direct sum of “p-closures” of the class Spl i t of splitting short exact sequences and description of closures of some classes. In the general case of an arbitrary ring we generalize these closures of a proper class ℙ by means of homomorphism classes ℱ and G and prove that under some conditions this closure (formula persent) is a proper classes. © 2017 Miskolc University Press | |
dc.identifier.doi | 10.18514/MMN.2017.1566 | |
dc.identifier.endpage | 738 | |
dc.identifier.issn | 1787-2405 | |
dc.identifier.issue | 2 | |
dc.identifier.scopus | 2-s2.0-85113383851 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.startpage | 723 | |
dc.identifier.uri | https://doi.org/10.18514/MMN.2017.1566 | |
dc.identifier.uri | https://hdl.handle.net/11486/4233 | |
dc.identifier.volume | 17 | |
dc.indekslendigikaynak | Scopus | |
dc.language.iso | en | |
dc.publisher | University of Miskolc | |
dc.relation.ispartof | Miskolc Mathematical Notes | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.snmz | KA_Scopus_20250323 | |
dc.subject | closure of a module | |
dc.subject | closure of a proper class | |
dc.subject | proper class of short exact sequences | |
dc.subject | sum of proper classes | |
dc.title | Closures Of Proper Classes -2 | |
dc.type | Article |