Results 11 to 20 of about 12,906 (264)

“Complete-simple” distributive lattices [PDF]

Proceedings of the American Mathematical Society, 1993
It is well known that the only simple distributive lattice is the two-element chain. We can generalize the concept of a simple lattice to complete lattices as follows: a complete lattice is complete-simple if it has only the two trivial complete congruences.
Grätzer, G., Schmidt, E. T.
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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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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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Lattices of fuzzy objects

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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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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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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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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On certain Wallman spaces

International Journal of Mathematics and Mathematical Sciences, 1994
Several generalized Wallman type spaces are considered as well as various lattices of subsets therein. In particular, regularity of these lattices and consequences are investigated.
Roy Connell
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Operations on Fixpoint Equation Systems [PDF]

Logical Methods in Computer Science
We 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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