LOCALLY S-PRIME IDEALS
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Publ House Bulgarian Acad Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a commutative ring and S be a multiplicatively closed subset of R. Lambda proper ideal P of R is called locally S-prime if P-S is a prime ideal of R-S. It is shown that, P is a locally S-prime ideal if and only if whenever P boolean AND S = ? and if ab is an element of P for some a, b is an element of R, then there exists s is an element of S such that sa is an element of P or sb is an element of P. As a consequence of this fact and well-known properties of prime ideals we obtain some properties of these ideals. Also, all multiplicatively closed subsets S of R that an ideal can be locally S-prime are characterised. Finally, these ideals are studied in an S-Noetherian ring.
Açıklama
Anahtar Kelimeler
Locally S-Prime İdeal, S-Noetherian Ring
Kaynak
Comptes Rendus De L Academie Bulgare Des Sciences
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
73
Sayı
12
