Spectra of monoidal-lattices

DOI10.1007/BF01236523zbMath0841.06012MaRDI QIDQ1319059

Shu-Hao Sun

Publication date: 16 July 1996

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

zbMATH Keywords

monoidal categoriesdistributive latticesideal latticesspectracommutative ringsseparation lemmaprime ideal theoremideals of \(m\)-lattices

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Preorders, orders, domains and lattices (viewed as categories) (18B35)

Related Items (3)

Reticulation of a quantale, pure elements and new transfer properties ⋮ On separation lemmas ⋮ Gabriel topologies on coherent quantales

Cites Work

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• Reticulated rings
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• On separation lemmas
• On the least multiplicative nucleus of a ring
• Complemented lattice-ordered groups
• Some abstract maximal ideal-like spaces
• The Power of the Ultrafilter Theorem
• Lattice Aspects of Radical Ideals and Choice Principles
• A localic approach to minimal prime spectra
• Constructing locales from quantales
• A unified theory of minimal prime ideals
• Remarks on quantic nuclei

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