Results 1 to 10 of about 1,290 (174)
A Class of Congruencies on Distributive Semilattice [PDF]
Revista de Investigaciones Universidad del Quindío, 2022 In this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S ...
Tolesa Dekeba Bekele, Tesfu Reta
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A metrizable semitopological semilattice with non-closed partial order [PDF]
Topological Algebra and its Applications, 2020 We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras +2 more
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H-Fuzzy Ideals and H-Fuzzy Filters in Distributive Join-Semilattices
Journal of MathematicsThis paper investigates H-fuzzy ideals of distributive join-semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law.
Mohammed Amare Mohammed +3 more
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On automorphisms of strong semilattice of groups [PDF]
Mathematics Open, 2022 In this paper, we consider the automorphisms of the strong semilattice of groups and relate them to the isomorphisms and automorphisms of underlying groups. We also provide a construction for non-trivial automorphisms of semilattices.
Aftab Hussain Shah +2 more
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On the Topology of the Cambrian Semilattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
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The universal semilattice compactification of a semigroup [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras.
H. R. Ebrahimi Vishki +1 more
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A metrizable Lawson semitopological semilattice with non-closed partial order [PDF]
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 We construct a metrizable Lawson semitopological semilattice $X$ whose partial order $\le_X\,=\{(x,y)\in X\times X:xy=x\}$ is not closed in $X\times X$. This resolves a problem posed earlier by the authors.
Taras Banakh +2 more
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O-Distributive Semilattices [PDF]
Canadian Mathematical Bulletin, 1978 AbstractSufficient conditions for a semilattice to be a 0- distributive are obtained. Some equivalent formulations of 0- distributivity in a semilattice are given. Further, disjunctive 0- distributive semilattices are also characterized.
Pawar, Y. S., Thakare, N. K.
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Universal extensions of specialization semilattices [PDF]
Categories and General Algebraic Structures with Applications, 2022 A specialization semilattice is a join semilattice together with a coarser preorder ⊑ satisfying an appropriate compatibility condition. If X is a topological space, then (P(X),∪,⊑) is a specialization semilattice, where x ⊑ y if x ⊆ Ky, for x, y ⊆ X ...
Paolo Lipparini
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On Ordered Regular Semigroups with a Zero Element [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS ...
Goncalo Pinto
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