Open set lattices of subspaces of spectrum spaces

DOI10.1515/dema-2015-0044zbMath1350.06013OpenAlexW2563345776MaRDI QIDQ895880

Yuan Ting Nai, Dongsheng Zhao

Publication date: 7 December 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2015-0044

zbMATH Keywords

prime elementhull kernel topology\(m\)-semiprime element\(mp\)-multiplicative lattice\(S\)-semiprime elementpure element

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Noether lattices (06F10)

Cites Work

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• Space of minimal prime ideals of a ring without nilpotent elements
• Projectivity of pure ideals
• Multiplicative lattices and frames
• Abstract commutative ideal theory
• Abstract commutative ideal theory without chain condition
• An innocent theorem of Banaschewski, applied to an unsuspecting theorem of De Marco, and the aftermath thereof
• Continuous Lattices and Domains
• A unified theory of minimal prime ideals
• Functorial maximal spectra

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