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Contact algebra is one of the main tools in region-based theory of space. In \cite{dmvw1, dmvw2,iv,i1} it is generalized by dropping the operation Boolean complement. Furthermore we can generalize contact algebra by dropping also the operation meet. Thus we obtain structures, called contact join-semilattices (CJS) and structures, called distributive ...
Tatyana Ivanova
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Monotonic Distributive Semilattices [PDF]
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}.
Sergio Celani
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Finite Distributive Semilattices
Applied Categorical Structures, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized quasi-metric semilattices
Topology and its Applications, 2022In [Kōdai Math. Semin. Rep. 22, 443--468 (1970; Zbl 0222.06004)], \textit{Y. Nakamura} introduced entropy for semilattices equipped with a semivaluation in order to provide an abstract approach to the classical measure entropy by Kolmogorov and Sinai.
Dikranjan D. +4 more
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Reflexive Topological Semilattices
Canadian Mathematical Bulletin, 1981The duality between compact 0-dimensional semilattices and discrete semilattices studied by K. H. Hofmann et al. [2] is here extended to larger categories of topological semilattices.We regard topological semilattices as objects in the category CvSl of convergence semilattices, believing CvSl to be the appropriate setting for this study.
Hong, S. S., Nel, L. D.
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Asian-European Journal of Mathematics, 2008
In this paper we give equational and structural characterizations of all algebras representing the sequence (0, 3,1,1,…). In the first part of the paper we prove that an algebra without constants has exactly three distinct essentially unary term operations and exactly one essentially n-ary term operation for every n > 1 if and only if it is clone ...
Marczak, Adam W., Płonka, Jerzy
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In this paper we give equational and structural characterizations of all algebras representing the sequence (0, 3,1,1,…). In the first part of the paper we prove that an algebra without constants has exactly three distinct essentially unary term operations and exactly one essentially n-ary term operation for every n > 1 if and only if it is clone ...
Marczak, Adam W., Płonka, Jerzy
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Canadian Mathematical Bulletin, 1980
AbstractSeveral characterizations for prime semilattices are obtained. Prime semilattices that are compactly packed by filters have been characterized. Solution to the problem, “Find a condition on a semilattice by which every filter can be expressed as the intersection of all prime filters containing it”, is furnished.
Pawar, Y. S., Thakare, N. K.
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AbstractSeveral characterizations for prime semilattices are obtained. Prime semilattices that are compactly packed by filters have been characterized. Solution to the problem, “Find a condition on a semilattice by which every filter can be expressed as the intersection of all prime filters containing it”, is furnished.
Pawar, Y. S., Thakare, N. K.
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Order, 1991
The concept of a median semilattice is generalized in the following way: a meet semilattice \(S\) is called \(n\)-median semilattice iff all principal ideals in \(S\) are distributive lattices and any \(n\)-element subset of \(S\) has an upper bound whenever each of its \((n-1)\)-element subsets has an upper bound.
Bandelt, Hans-Jürgen +2 more
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The concept of a median semilattice is generalized in the following way: a meet semilattice \(S\) is called \(n\)-median semilattice iff all principal ideals in \(S\) are distributive lattices and any \(n\)-element subset of \(S\) has an upper bound whenever each of its \((n-1)\)-element subsets has an upper bound.
Bandelt, Hans-Jürgen +2 more
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