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Congruences on directoids
Directoids are groupoids defined on every upward poset. They fully characterize these posets. The paper is devoted to several characterizations of congruences on directoids, on directoids with an antitone involution and on directoid...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Distributive lattices with sectionally antitone involutions
We study upper-bounded lattices and join-semilattices that have antitone involutions in all sections. On such a (semi)lattice we introduce a binary operation the properties of which characterize the original order and antitone
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Bounded lattices with antitone involutions and properties of MV-algebras
There are studied the properties of the bounded lattices with antitone involutions and their conections with MV-algebras.
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Quantifiers on lattices with an antitone involution
We introduce quantifiers on lattices with an antitone involution and prove that the poset of existential quantifiers is antiisomorphic to the poset of relatively complete sublattices......
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lattices and semilattices having an antitone involution in every upper interval
We study v-semilattices and lattices with the greatest element 1 where every interval [p,1] is a lattice with an antitone involution....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Ring-like structures derived from ?-lattices with antitone involutions
Using the concept of the ?-lattice introduced recently by V. Snášel we define ?-lattices with antitone involutions. For them we establish a correspondence to rink-like structures similarly as it was done for ortholattices and pseudo...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A polynomial representation pf bounded lattices with an antitone involution
We show that any bounded lattice with an antitone involution can be represented by a given set of binary polynomials where the operations are certain compositions of functions......
BA - Obecná matematika
- 2010 •
- O
Rok uplatnění
O - Ostatní výsledky
Congruences on semilattices with section antitone involutions
We deal with congruences on semilattices with section antitone involution which rise e.g. As implication reducts of Boolean algebras, MV-algebras or orthoimplication algebras. We characterize congruences by their kerm....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Symmetric difference on posets with an antitone involution
The concept of symmetrical difference is defined for arbitrary posts having an antitone involution. In the case of lattices a very natural description of symmetrical difference follows. Sufficieant conditions for the existence of sy...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
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