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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 t...
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)
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
Algebras derived from sectionally involuted lattices
It is shown in a previous paper, that a certain algebra can be derived from a bounded lattice having an antitone involution on every section. Conversely, we derive a ring-like structure convertible in the ...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Minimal bounded lattices with an antitone involution the complemented elements of which do not form a sublattice
Minimal bounded lattices with an antitone involution the complemented elements of which do not form a sublattice must contain two complemented elements such that not both their join and their meet are complemented....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Double basic algebras
To any bounded lattice with section antitone bijections is assigned an algebra with two binary, two unary and a nullary operation satisfying similar axioms as a basic algebra. The converse construction is presented...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Basic algebras, logics, trends and applications
results on basic algebras, the characterization by means of a bounded lattice with section antitone involutions and shows what a logic can be axiomatized by meansBasic algebras were introduced as a common...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Polynomial permutations on bounded commutative directoids with an antitone involution
Main results of [D. Dorninger, H. Länger: Polynomial permutations on finite lattices related to cryptography. J. Pure Appl. Math. 40 (2007), 441-449] concerning polynomial permutations on bounded lattices with an antito...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Near ?-lattices
is a quasivariety. A ?-semilattice A=(A; v) is said to have sectional (antitone) involutions if for each $ain A$ there exists an (antitone) involution on [a,1] where 1 isthe greatest element of A. If this...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Finite commutative basic algebras are MV-effect algebras
It is shown that all finite lattices with section antitone involutions are MV-algebras.
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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