Generalizations of strongly hollow ideals and a corresponding topology
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce and study the notions of M-strongly hollow and M-PS-hollow ideals where M is a module over a commutative ring R. These notions are generalizations of strongly hollow ideals. We investigate some properties and characterizations of M-strongly hollow (M-PS-hollow) ideals. Then we define and study a topology on the set of all M-PS-hollow ideals of a commutative ring R. We investigate when this topological space is irreducible, Noetherian, T-0, T-1 and spectral space.
Açıklama
Anahtar Kelimeler
Strongly Hollow Submodule, Pseudo Strongly Hollow Submodule, M-Strongly Hollow Ideal, PSH-Zariski Topology, Finiteness Conditions, Modules
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
6
Sayı
12
