A new approach to the patch and flat topologies on a spectral space with applications

DOI10.1080/00927872.2021.1943422zbMath1474.13009OpenAlexW3182341972MaRDI QIDQ5860703

Abolfazl Tarizadeh

Publication date: 22 November 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1943422

zbMATH Keywords

maximal spectrumminimal spectrumflat topologypower set ringind-power topology

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Stone spaces (Boolean spaces) and related structures (06E15) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Relevant commutative algebra (14A05) Rings of fractions and localization for commutative rings (13B30)

Cites Work

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• The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring
• A Note on Minimal Prime Ideals
• Flat topology and its dual aspects
• Prime Ideal Structure in Commutative Rings

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