Results 21 to 30 of about 158 (32)
Stone-type representations and dualities for varieties of bisemilattices
, 2017 In this article we will focus our attention on the variety of distributive bisemilattices and some linguistic expansions thereof: bounded, De Morgan, and involutive bisemilattices. After extending Balbes' representation theorem to bounded, De Morgan, and
Ledda, Antonio
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First-order limits, an analytical perspective
, 2014 In this paper we present a novel approach to graph (and structural) limits based on model theory and analysis. The role of Stone and Gelfand dualities is displayed prominently and leads to a general theory, which we believe is naturally emerging.
de Mendez, Patrice Ossona +1 more
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Idempotent generated algebras and Boolean powers of commutative rings [PDF]
, 2013 A Boolean power S of a commutative ring R has the structure of a commutative R-algebra, and with respect to this structure, each element of S can be written uniquely as an R-linear combination of orthogonal idempotents so that the sum of the idempotents ...
Bezhanishvili, Guram +3 more
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An Algebraic and Logical approach to continuous images [PDF]
, 2002 Continuous mappings between compact Hausdorff spaces can be studied using homomorphisms between algebraic structures (lattices, Boolean algebras) associated with the spaces.
Hart, Klaas Pieter
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Canonical varieties with no canonical axiomatisation
, 2005 Accepted ...
Hodkinson, I, Venema, Y
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De Vries powers: a generalization of Boolean powers for compact Hausdorff spaces [PDF]
, 2013 We generalize the Boolean power construction to the setting of compact Hausdorff spaces. This is done by replacing Boolean algebras with de Vries algebras (complete Boolean algebras enriched with proximity) and Stone duality with de Vries duality.
Bezhanishvili, Guram +3 more
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Distributive inverse semigroups and non-commutative Stone dualities [PDF]
, 2013 We develop the theory of distributive inverse semigroups as the analogue of distributive lattices without top element and prove that they are in a duality with those etale groupoids having a spectral space of identities, where our spectral spaces are not
Lawson, Mark V, Lenz, Daniel H
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. Weestablishcategoricaldualitiesbetweenvarietiesofisotropicmedianalgebras and suitable categories of operational and relational topological structures. We follow ageneraldualitytheoryofB.A.DaveyandH.Werner.
Thetopologyof Pis +2 more
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