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pro vyhledávání: '"Mureşan Claudia"'
Autor:
Mureşan Claudia
Publikováno v:
Discussiones Mathematicae - General Algebra and Applications, Vol 42, Iss 1, Pp 51-96 (2022)
In this paper, we transfer Davey‘s characterization for κ -Stone bounded distributive lattices to lattices with certain kinds of quotients, in particular to commutator lattices with certain properties, and obtain related results on prime, radical,
Externí odkaz:
https://doaj.org/article/2c61fc25f84248e1a188fe7aa2af274d
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences w.r.t. the term condition commutator. Then we use the topological structure of the minimal prime spect
Externí odkaz:
http://arxiv.org/abs/2012.04916
Akademický článek
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We continue our investigation of paraorthomodular BZ*-lattices (PBZ*-lattices), started in \cite{GLP1+,PBZ2,rgcmfp,pbzsums,pbz5}. We shed further light on the structure of the subvariety lattice of the variety $\mathbb{PBZL}^{\ast }$ of PBZ*-lattices
Externí odkaz:
http://arxiv.org/abs/1911.00094
Autor:
Kwuida, Leonard, Mureşan, Claudia
We study the existence of nontrivial and of representable (dual) weak complementations, along with the lattice congruences that preserve them, in different constructions of bounded lattices, then use this study to determine the finite (dual) weakly c
Externí odkaz:
http://arxiv.org/abs/1909.13419
The {\em reticulation} of an algebra $A$ is a bounded distributive lattice whose prime spectrum of ideals (or filters), endowed with the Stone topology, is homeomorphic to the prime spectrum of congruences of $A$, with its own Stone topology. The ret
Externí odkaz:
http://arxiv.org/abs/1908.11688
Publikováno v:
In Fuzzy Sets and Systems 15 July 2023 463
Autor:
Mureşan, Claudia
PBZ*-lattices are bounded lattice-ordered structures endowed with two complements, called Kleene and Brouwer; by definition, they are the paraorthomodular Brouwer-Zadeh lattices in which the pairs of elements with their Kleene complements satisfy the
Externí odkaz:
http://arxiv.org/abs/1904.10093
Akademický článek
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PBZ*-lattices are algebraic structures related to quantum logics, which consist of bounded lattices endowed with two kinds of complements, named {\em Kleene} and {\em Brouwer}, such that the Kleene complement satisfies a weakening of the orthomodular
Externí odkaz:
http://arxiv.org/abs/1811.01869