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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
A note on directly complete analogue of the deGroot dual for general posets
In this paper we describe and study a certain anlaogue of De Groot dual for a general poset, based on the order stucture of the set of morphisms....
BA - Obecná matematika
- 2013 •
- D
Rok uplatnění
D - Stať ve sborníku
On n-normal posets
A poset is called n-normal if every its prime ideal contains at most n minimal prime ideals. In the paper some properties and characterizations of n-normal posets are obtained....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The Quest For de Groot-like Dual of Pretopological Systems With Mathematica as of a Tool of Visualization
In this paper we study the preframe structure representing the opens of a possible pretopological system and its behavior with respect to the certain de Groot-like dualization construction. We also present a Mathematica 7 compatible package which dem...
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Counting general and self-dual interval orders
We present a new method to derive formulas for the generating functions of interval orders, counted with respect to their size, magnitude, and number of minimal and maximal elements. Our method allows us not only to generalize previous results on ref...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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
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
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