Makale detayı · 2020
On S-Zariski topology
- Yıl
- 2020
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Communications in Algebra
- Katalog eşleşmesi (ISSN) Communications in Algebra
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
Let R be a commutative ring with nonzero identity and, S⊆R be a multiplicatively closed subset. An ideal P of R with P∩S=∅ is called an S-prime ideal if there exists an (fixed) s∈S and whenver ab∈P for a,b∈R then either sa∈P or sb∈P. In this article, we construct a topology on the set SpecS(R) of all S-prime ideals of R which is generalization of prime spectrum of R. Also, we investigate the relations between algebraic properties of R and topological properties of SpecS(R) like compactness, connectedness and irreducibility.
Konular
Atıflar
OpenAlex cited_by_count. WoS veya Scopus atıf sayısı değildir; o kaynaklar için ayrı kolon yoktur.
29 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 14 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
- S-Zariski topology on S-spectrum of modules 2022
- S-radical of an ideal and strongly S-n ideals 2025
- Unifying ideal and radical theory: a framework of S-structures 2025
- S-radical of an ideal and strongly S-n ideals 2025
- On classical 1-absorbing prime submodules 2025
- On divisor topology of commutative rings 2024
- On S-second spectrum of a module 2022
- On $S$-pm-rings, $S$-maximal Spectrum, and $S$-clean Rings 2026
- On divisor topology of modules over domains 2026
- Classical S-Zariski Topology of a Module 2025