On the interior of a submodule with respect to a set of ideals
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natl Inquiry Services Centre Pty Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate interior operations on submodules and introduce a new interior operation by using a certain submodule class. Let R be a commutative ring with identity and be a set of ideals of R. We define -second submodules and -interior of a submodule. We show that second, secondary and strongly second submodules are special types of -second submodules. We investigate several properties of -interiors of submodules and give a concrete expression of - interior of a submodule of an Artinian module. We use the concept of -interior of a submodule to find some results on -second submodules and attached primes of an Artinian module.
Açıklama
Anahtar Kelimeler
I-Second Submodule, Interior Operation, I-Interior Of A Submodule, Attached Prime Ideal, Dual Notion, 2nd, Modules
Kaynak
Quaestiones Mathematicae
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
42
Sayı
4
