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of 106
pro vyhledávání: '"Botur, Michal"'
Motivated by the classical work of Halmos on functional monadic Boolean algebras we derive three basic sup-semilattice constructions, among other things the so-called powersets and powerset operators. Such constructions are extremely useful and can b
Externí odkaz:
http://arxiv.org/abs/2207.05453
Autor:
Botur, Michal, Kowalski, Tomasz
Publikováno v:
In Fuzzy Sets and Systems 15 March 2023 455:158-182
In a recent paper we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to $0,1$-monotone clones, we have shown that all aggregation functions on a finit
Externí odkaz:
http://arxiv.org/abs/1812.09529
Publikováno v:
Journal of Algebra 450 (2016), 173-203
A number of research articles have established the significant role of lattice-ordered groups (l-groups) in logic. The purpose of the present article is to lay the groundwork for, and provide significant initial contributions to, the development of a
Externí odkaz:
http://arxiv.org/abs/1810.01120
Autor:
Botur, Michal, Paseka, Jan
Publikováno v:
International Journal of Theoretical Physics, Year: 2015, Volume: 54 Pages: 4397 - 4409
In this paper, we continue the study of quantum B-algebras with emphasis on filters on integral quantum B-algebras. We then study filters in the setting of pseudo-hoops. First, we establish an embedding of a cartesion product of polars of a pseudo-ho
Externí odkaz:
http://arxiv.org/abs/1809.06210
Autor:
Botur, Michal, Kowalski, Tomasz
We investigate a semigroup construction related to the two-sided wreath product. It encompasses a range of known constructions and gives a slightly finer version of the decomposition in the Krohn-Rhodes Theorem, in which the three-element flip-flop i
Externí odkaz:
http://arxiv.org/abs/1806.07614
Autor:
Botur, Michal, Dvurečenskij, Anatolij
We investigate a construction of an integral residuated lattice starting from an integral residuated lattice and two sets with an injective mapping from one set into the second one. The resulting algebra has a shape of a Chinese cascade kite, therefo
Externí odkaz:
http://arxiv.org/abs/1707.00267
Autor:
Botur, Michal, Dvurečenskij, Anatolij
Kite pseudo effect algebras were recently introduced as a class of interesting examples of pseudo effect algebras using a po-group, an index set and two bijections on the index set. We represent kite pseudo effect algebras with a special kind of the
Externí odkaz:
http://arxiv.org/abs/1412.5434
Autor:
Botur, Michal, Dvurečenskij, Anatolij
We study the class of pseudo BL-algebras whose every maximal filter is normal. We present an equational base for this class and we extend these results for the class of basic pseudo hoops with fixed strong unit.
Externí odkaz:
http://arxiv.org/abs/1412.2253