Results 11 to 20 of about 84,600 (169)
LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS
Ural Mathematical Journal, 2023 For an arbitrary prime \(p\), we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite \(p\)-group.
Vladimir B. Repnitskiǐ
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Rough Approximation Operators on a Complete Orthomodular Lattice
Axioms, 2021 This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the
Songsong Dai
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The prime state ideal theorem in state residuated lattices [PDF]
Categories and General Algebraic Structures with Applications, 2023 The aim of this paper is to establish the prime state ideal theorem in state residuated lattices (SRLs). We study the state ideals lattice $\mathcal{SI}(L)$ of astate residuated lattice $(L, \varphi)$ andprove that it is a complete Brouwerian lattice ...
Francis Woumfo +2 more
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ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES [PDF]
International Journal of Algebra and Computation, 1991 The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In 1988, the second author announced the converse: every complete lattice L can be represented as the lattice of complete congruence relations of some complete lattice K.
R. FREESE, G. GRÄTZE, E. T. SCHMIDT
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The Study of Lattice Structure of Bipartite Stable Matchings With Flexible Agents
IEEE Access, 2019 In this paper, we obtain a set of pairwise stable outcomes in two-sided hybrid matching market with price externalities. In this market, the valuation of agents depends upon money.
B. Shaukat +3 more
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Kernels of Residuated Maps as Complete Congruences in Lattices
International Journal of Computational Intelligence Systems, 2020 In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L, an equivalence relation defined on L by the equality of related cuts is investigated.
Branimir Šešelja, Andreja Tepavčević
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Quotients and subalgebras of sup-algebras; pp. 311–322 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 An ordered algebra is called a sup-algebra if its underlying poset is a complete lattice and its operations are compatible with joins in each variable. In this article we study quotients and subalgebras of sup-algebras.
Xia Zhang, Valdis Laan
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On sublattices of the lattice of all ω-composition formations of finite groups [PDF]
Advances in Group Theory and Applications, 2018 It is proved that the lattice of all ω-local formations is a complete sublattice of the lattice of all ω-composition formations of finite groups.
Nikolay N. Vorob’ev
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On a complete lattice of retracts of a free monoid generated by three elements [PDF]
Opuscula Mathematica, 2008 We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.
Wit Foryś
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The Lattice Structures of Approximation Operators Based on L-Fuzzy Generalized Neighborhood Systems
Complexity, 2021 Following the idea of L-fuzzy generalized neighborhood systems as introduced by Zhao et al., we will give the join-complete lattice structures of lower and upper approximation operators based on L-fuzzy generalized neighborhood systems. In particular, as
Qiao-Ling Song +5 more
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