\({\mathcal F}\)-multipliers and the localization of distributive lattices

DOI10.1007/BF01188055zbMath0602.06006OpenAlexW1988290269MaRDI QIDQ1081624

George Georgescu

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01188055

zbMATH Keywords

multiplierbounded distributive latticesreticulationGabriel topologylattice of fractionslocalization latticemaximal lattice of quotients

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Spectra in general topology (54B35) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Post algebras (lattice-theoretic aspects) (06D25) Rings of fractions and localization for commutative rings (13B30)

Related Items (6)

Localization of \(k\times j\)-rough Heyting algebras ⋮ Maximal (semi-)lattices of fractions and injective hulls ⋮ Localization of tetravalent modal algebras ⋮ \(LM_{n}\)-algebra of fractions and maximal \(LM_{n}\)-algebra of fractions ⋮ Localization of \(LM_n\)-algebras ⋮ A Connection Between the Reticulation of a Ring of Quotients and the Localization Lattice of the Reticulation of a Commutative Ring

Cites Work

• Reticulated rings
• The multiplier extension of a distributive lattice
• On the characterization of centered Lukasiewicz algebras
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