Results 11 to 20 of about 342 (198)
Algebraic Geometry Over Complete Lattices and Involutive Pocrims
Discussiones Mathematicae - General Algebra and Applications, 2022 An involutive pocrim is a resituated integral partially ordered commutative monoid with an involution operator, consider as an algebra. In this paper it is proved that the variety of a finitely generated by involutive pocrims of finite type has a ...
Molkhasi Ali, Shum Kar Ping
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Equalizers and Coequalizers in the Category of Topological Molecular Lattices [PDF]
Journal of Mahani Mathematical Research, 2023 A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete.
Ghasem Mirhosseinkhani, Narges Nazari
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Classification lattices are geometric for complete atomistic lattices
Open Mathematics, 2017 We characterize complete atomistic lattices whose classification lattices are geometric. This implies an proper solution to a problem raised by S. Radeleczki in 2002.
Mao Hua
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On generalized topological molecular lattices [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
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Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract
Bulletin of the Section of Logic, 2022 The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category of ...
Wiesław Dziobiak, Marina Schwidefsky
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International Journal of Mathematics and Mathematical Sciences, 1996 The collection of fuzzy subsets of a set X forms a complete lattice that extends the complete lattice 𝒫(X) of crisp subsets of X. In this paper, we interpret this extension as a special case of the fuzzification of an arbitrary complete lattice A. We
Arturo A. L. Sangalli
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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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A new view of relationship between atomic posets and complete (algebraic) lattices
Open Mathematics, 2017 In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
Yu Bin, Li Qingguo, Wu Huanrong
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Operations on Fixpoint Equation Systems [PDF]
Logical Methods in Computer ScienceWe study operations on fixpoint equation systems (FES) over arbitrary complete lattices. We investigate under which conditions these operations, such as substituting variables by their definition, and swapping the ordering of equations, preserve the ...
Thomas Neele, Jaco van de Pol
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Spin-induced orbital frustration in a hexagonal optical lattice
Physical Review Research, 2021 Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics for generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-1/2) Bose gases in p-orbital bands of
Yongqiang Li +3 more
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