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On purely prime ideals in semilattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications
Nilesh Mundlik   +2 more
doaj   +1 more source

Monotonic Distributive Semilattices [PDF]

open access: yesOrder, 2018
In the study of algebras related to non-classical logics, (distributive) semilattices are always present in the background. For example, the algebraic semantic of the $\{\rightarrow,\wedge,\top\}$-fragment of intuitionistic logic is the variety of implicative meet-semilattices \cite{CelaniImplicative} \cite{ChajdaHalasKuhr}.
Sérgio A Celani, Celani Sérgio A
exaly   +7 more sources

Infinite antichains in semilattices [PDF]

open access: yesOrder, 1985
In this paper we consider infinite antichains and the semilattices that they generate, mainly in the context of continuous semilattices. Conditions are first considered that lead to the antichain generating a copy of a countable product of the two ...
Michael Mislove   +2 more
exaly   +2 more sources
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Finite Distributive Semilattices

Applied Categorical Structures, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Testing for a Semilattice Term

Order, 2018
A \textit{semilattice term} in an algebra \(A\) means a binary term which is commutative, associative and idempotent. A binary term \(b(x,y)\) is called a \textit{flat semilattice term} if \(A\) has an absorbing element \(0\) such that \(b(a,a)=a\) for every element a and \(b(a,b)=0\) for different elements \(a, b\).
Ralph Freese   +2 more
openaire   +2 more sources

SEMILATTICES OF SUBDIMONOIDS

Asian-European Journal of Mathematics, 2011
We present some congruence on the dimonoid with an idempotent operation and use it to obtain semilattice decompositions of an idempotent dimonoid. Also we give necessary and sufficient conditions under which an arbitrary dimonoid is a semilattice of archimedean subdimonoids.
openaire   +1 more source

A contractionless semilattice semantics

Journal of Symbolic Logic, 1987
Semilattice semantics for relevant logics were discovered independently by Routley and Urquhart over 10 years ago. A semilattice semantics was first published in [10], where the weak theory of implication of [8] and [3] (i.e., R →, the pure implication fragment of the system R of relevant implication) is shown to be consistent and complete with respect
Steve Giambrone   +2 more
openaire   +1 more source

On Rogers Semilattices

2006
Rogers semilattices of computable numberings for the families in the hierarchy of Ershov are compared with those for the families in the arithmetical hierarchy.
openaire   +1 more source

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