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A Primer of Subquasivariety Lattices
This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by develo** the basics of atomic...
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Congruences on quasi completely regular semirings
We study quasi completely regular semirings through their congruence structures.
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Characterization of lattice-valued multiset finite automata
This work aims to characterize a new class of automaton with input as multisets. First, we introduce two finite monoids through different congruence...
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Strongly Algebraically Closed Cevian Lattices
AbstractCevian operations on certain distributive lattices with zero were introduced by F. Wehrung in 2019, and they have been intensively studied...
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Partial separability/entanglement violates distributive rules
We found three qubit Greenberger–Horne–Zeilinger diagonal states which tell us that the partial separability of three qubit states violates the...
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Spectral properties of cBCK-algebras
In this paper we study prime spectra of commutative BCK-algebras. We give a new construction for commutative BCK-algebras using rooted trees, and...
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Which Distributive Lattices are Lattices of Open Sets of P-Spaces?
Representing lattices by topologies has been studied to a great extent. In this paper, we prove that a complete lattice L is isomorphic to the...
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Idempotents in the Endomorphism Algebra of a Finite Lattice
We give a direct construction of a specific central idempotent in the endomorphism algebra of a finite lattice T . This idempotent is associated with...
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The Gumm level equals the alvin level in congruence distributive varieties
Congruence modular and congruence distributive varieties can be characterized by the existence of sequences of Gumm and Jónsson terms, respectively....
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The Projective Geometry Over Partially Ordered Skew Fields
Derivative lattices associated with partially ordered linear spaces over partially ordered skew fields are considered. Properties of the convex...
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Near-isomorphism for bounded completely decomposable groups
In recent work the authors introduced the notion of near-isomorphism for torsion-free abelian groups of infinite rank. In a natural way this concept...
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Negations and Meets in Topos Quantum Theory
The daseinisation is a map** from an orthomodular lattice in ordinary quantum theory into a Heyting algebra in topos quantum theory. While...
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Introduction
A Texturing is a lattice of ordinary sets satisfying certain conditions which are compatible with the structure of a lattice of fuzzy subsets. In...
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Free Vector Lattices and Free Vector Lattice Algebras
We show how the existence of various free vector lattices and free vector lattice algebras can be derived from a theorem on equational classes in...
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Ockham Algebras—An Urquhart Legacy
We highlight the fundamental influence that the work of Alasdair Urquhart has had in the area of distributive lattice-ordered algebras and in...
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Equivalence à la Mundici for commutative lattice-ordered monoids
We provide a generalization of Mundici’s equivalence between unital Abelian lattice-ordered groups and MV-algebras: the category of unital commutative...
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Acts Over Semigroups
We present a review of results obtained mainly in the last two decades in a number of areas of the theory of acts over semigroups. The authors...