SOME NOTES ON MODULES IN WHICH ALL SUBMODULES HAVE A UNIQUE CLOSURE
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A module M is called a UC-module if whenever every submodule of M has a unique closure. In this paper, we establish new characterizations of several well-studied classes of rings in terms of UC-modules, and show that UC is not a Morita invariant property. In addition, we study the behaviour of UC-modules under excellent extensions of rings. 2010 Mathematics Subject Classification: 16D10; 16D50
Açıklama
Anahtar Kelimeler
UC-Module, UC-Cover, Semisimple Ring, V-Ring, SI-Ring, Excellent Extension, Property, Rings
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
23
Sayı
2
