Closures Of Proper Classes -2
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Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Miskolc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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
Açıklama
Anahtar Kelimeler
closure of a module, closure of a proper class, proper class of short exact sequences, sum of proper classes
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
17
Sayı
2
