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Nuclei and conuclei on Girard posets
axiomatized by means of a residuated poset. Based on a notion of dualizing (cyclic) element we introduce the notion of a Frobenius (Girard) poset. With this paper we hope to contribute to the theory of Frobenius posets and...
Pure mathematics
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Algebras describing pseudocomplemented, relatively pseudocomplemented and sectionally pseudocomplemented posets
posets, we assigned to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset, a certain algebra characterize the given corresponding pos...
Applied mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Residuation in modular lattices and posets
We show that every complemented modular lattice can be converted into a left residuated lattice. We show that every strongly modular poset with complementation and every strictly modular poset with complementation can be converted i...
Pure mathematics
- 2019 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Residuated operators in complemented posets
Using the operators of taking upper and lower cones in a poset with a unary modification of residuation can be introduced. A relatively pseudocomplemented poset can be considered as a prototype of such an operator residuated pos...
Pure mathematics
- 2018 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Dual Poset Explorer
Dual Poset Explorer generates the first three iterated duals of the given poset and displays their Hasse diagrams together with the diagram of the original poset....
BA - Obecná matematika
- 2012 •
- R •
- Link
Rok uplatnění
R - Software
Výsledek na webu
The logic of orthomodular posets of finite height
Orthomodular posets form an algebraic formalization of the logic of quantum a positive answer whenever the orthomodular poset in question if of finite height implication orthomodular poset, i.e. a poset equipped wi...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Extensions of posets with an antitone involution to residuated structures
We show that every poset P with an antitone involution can be extended to a commutative integral residuated poset E(P). If, moreover, P is a lattice then so is E(P)....
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Uniquely Complemented Posets
We study complementation in bounded posets. It is known and easy to see that every complemented distributive poset is uniquely complemented. The converse that force a uniquely complemented poset to be distributive. For atom...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Weakly orthomodular and dually weakly orthomodular posets
Orthomodular posets form an algebraic semantic for the logic of quantum mechanics. We show several methods how to construct orthomodular posets via to the concept of weakly orthomodular and dually weakly orthomodular posets...
Pure mathematics
- 2018 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Characterizations of posets via weak states
Weak states on posets are defined which are in some analogy to stateson orthomodular posets used in axiomatic quantum mechanics. I tis shown how certain properties of the set of weak states characterize certain properties of the und...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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