Archimedean lattices
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Publication:759049
DOI10.1007/BF02945124zbMath0272.06013MaRDI QIDQ759049
Publication date: 1973
Published in: Algebra Universalis (Search for Journal in Brave)
Complete lattices, completions (06B23) Structure and representation theory of distributive lattices (06D05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (31)
A lattice-theoretic view of some special ideals of subrings of commutative rings ⋮ The Archimedean property: new horizons and perspectives ⋮ Feebly projectable algebraic frames and multiplicative filters of ideals ⋮ Patch-generated frames and projectable hulls ⋮ On the hull-kernel and inverse topologies as frames ⋮ Morphisms and pushouts in compact normal joinfit frames ⋮ Unnamed Item ⋮ A solution to the MV-spectrum problem in size aleph one ⋮ The Conrad program: from \(l\)-groups to algebras of logic. ⋮ Conrad frames ⋮ Epicompletion in frames with skeletal maps. IV: \(\ast\)-regular frames ⋮ TWO SPACES OF MINIMAL PRIMES ⋮ Epicompletion in frames with skeletal maps. I: Compact regular frames ⋮ First steps going down on algebraic frames ⋮ Topological coordinatizations and dualities of Brouwer lattices ⋮ Epicompletion in frames with skeletal maps. III: When maps are closed ⋮ Unnamed Item ⋮ Amenable and locally amenable algebraic frames ⋮ Rigid extensions of algebraic frames ⋮ Sublattices Generated by Polars ⋮ Dimension in algebraic frames ⋮ Free meets and atomic assemblies of frames ⋮ A natural equivalence for the category of coherent frames ⋮ Nuclear typing of frames vs spatial selectors ⋮ Regularity in algebraic frames ⋮ On the sobriety of the inverse topology ⋮ Generalizations of pseudo MV-algebras and generalized pseudo effect algebras ⋮ On the sublocale of an algebraic frame induced by the \(d\)-nucleus ⋮ On fraction-dense algebraic frames ⋮ Epicompletion in frames with skeletal maps. II: Compact normal joinfit frames ⋮ Yosida frames
Cites Work
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- The lattice of closed ideals and a\(^*\)-extensions of an abelian \(l\)- group
- Pseudo-complements in semi-lattices
- Epi-archimedean groups
- Representations of Lattices by Sets
- On a characterization of the lattice of all ideals of a Boolean ring
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