Results 1 to 10 of about 167 (147)
Quasi-Semilattices on Networks
Axioms, 2023 This paper introduces a representation of subnetworks of a network Γ consisting of a set of vertices and a set of relations, where relations are the primitive structures of a network.
Yanhui Wang, Dazhi Meng
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Machine Learning and Knowledge ExtractionBalancing the accuracy and the complexity of models is a well established and ongoing challenge. Models can be misleading if they are not accurate, but models may be incomprehensible if their accuracy depends upon their being complex.
Stephen Fox, Antonio Ricciardo
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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 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 Fixed-Point Theory of Strictly Contracting Functions on Generalized Ultrametric Semilattices [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 We introduce a new class of abstract structures, which we call generalized ultrametric semilattices, and in which the meet operation of the semilattice coexists with a generalized distance function in a tightly coordinated way.
Eleftherios Matsikoudis, Edward A. Lee
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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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The lattice of (2, 1)-congruences on a left restriction semigroup
Open Mathematics, 2022 All the (2, 1)-congruences on a left restriction semigroup become a complete sublattice of its lattice of congruences. The aim of this article is to study certain fundamental properties of this complete sublattice.
Liu Haijun, Guo Xiaojiang
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Categories and General Algebraic Structures with Applications, 2023 Let A, B, C, and D be posets. Assume C and D are finite with a greatest element. Also assume that AC ≅B D. Then there exist posets E, X, Y , and Z such that A ≅E X, B ≅E Y , C≅Y ×Z, and D≅X×Z. If C≅D, then A≅B.
Jonathan Farley
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On automorphisms of strong semilattice of groups
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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Compatibilities between continuous semilattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 We define compatibilities between continuous semilattices as Scott continuous functions from their pairwise cartesian products to $\{0,1\}$ that are zero preserving in each variable.
O.Ya. Mykytsey, K.M. Koporkh
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