Results 1 to 10 of about 6,708 (173)
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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Combining Semilattices and Semimodules [PDF]
Foundations of Software Science and Computation Structures24th International Conference, 2021 AbstractWe describe the canonical weak distributive law $$\delta :\mathcal S\mathcal P\rightarrow \mathcal P\mathcal S$$ δ : S P → P S of the powerset monad $$\
Bonchi F, Santamaria A.
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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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A Class of Congruencies on Distributive Semilattice
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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Predicative theories of continuous lattices [PDF]
Logical Methods in Computer Science, 2021 We introduce a notion of strong proximity join-semilattice, a predicative notion of continuous lattice which arises as the Karoubi envelop of the category of algebraic lattices. Strong proximity join-semilattices can be characterised by the coalgebras of
Tatsuji Kawai
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On general n-ary hyperstructure semilattices [PDF]
Journal of Hyperstructures, 2016 In this paper, the n-ary hyperstructure will be applied to some aspects of lattice theory. We introduce the concepts of general n-ary hyperstructure semilattice ( or gnh-semilattice) and Gnh-subsemilattice, ideal of gnh-semilattice, gno-order, Gnoorder ...
Akbar Dehghan Nezhad, Najmeh Khajuee
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Congruence on a strong semilattice of π-groups
上海师范大学学报. 自然科学版, 2022 It is well known that a semigroup is a Clifford semigroup， if and only if it is a strong semilattice of groups， and the class of π-groups is the generalization of groups in the range of π-regular semigroups.
DAI Luyao, ZHANG Jiangang, SHEN Ran
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Monotone and cone preserving mappings on posets [PDF]
Mathematica Bohemica, 2023 We define several sorts of mappings on a poset like monotone, strictly monotone, upper cone preserving and variants of these. Our aim is to study in which posets some of these mappings coincide.
Ivan Chajda, Helmut Länger
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A Semigroup Is Finite Iff It Is Chain-Finite and Antichain-Finite
Axioms, 2021 A subset A of a semigroup S is called a chain (antichain) if ab∈{a,b} (ab∉{a,b}) for any (distinct) elements a,b∈A. A semigroup S is called periodic if for every element x∈S there exists n∈N such that xn is an idempotent.
Iryna Banakh +2 more
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