A topological duality for some lattice ordered algebraic structures including \(\ell\)-groups

DOI10.1007/BF01236503zbMath0822.06014MaRDI QIDQ1333291

Néstor G. Martínez

Publication date: 28 September 1995

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

zbMATH Keywords

dual spacetopological duality\(l\)-groupstopological semigroupsAbelian \(l\)-groupsimplicative latticeslattice-ordered algebraic structures

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered topological structures (06F30) Ordered structures (06F99) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological representations of algebraic systems (54H10) Distributive lattices (06D99)

Related Items

Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras, Canonical extensions of double quasioperator algebras: an algebraic perspective on duality for certain algebras with binary operations, Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality, Importation lattices

Cites Work

• Unnamed Item
• The Priestley duality for Wajsberg algebras
• The class of Kleene algebras satisfying an interpolation property and Nelson algebras
• Ordered Topological Spaces and the Representation of Distributive Lattices
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Topological representations of distributive lattices and Brouwerian logics