Wszystkie pola: involution - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A common approach to directoids with an antitone involution and D-quasirings
Autorzy:: Chajda, Ivan
Kolařík, Miroslav
Powiązania:: https://bibliotekanauki.pl/articles/728822.pdf
Data publikacji:: 2008
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: directoid
antitone involution
D-quasiring
DN-algebra
a-mutation
Opis:: We introduce the so-called DN-algebra whose axiomatic system is a common axiomatization of directoids with an antitone involution and the so-called D-quasiring. It generalizes the concept of Newman algebras (introduced by H. Dobbertin) for a common axiomatization of Boolean algebras and Boolean rings.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2008, 28, 2; 139-145
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Minimal bounded lattices with an antitone involution the complemented elements of which do not form a sublattice
Autorzy:: Chajda, Ivan
Länger, Helmut
Powiązania:: https://bibliotekanauki.pl/articles/728776.pdf
Data publikacji:: 2008
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: bounded lattice
antitone involution
complemented element
Opis:: 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. We distinguish (up to symmetry) eight cases and in each of these cases we present such a lattice of minimal cardinality.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2008, 28, 2; 251-259
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Congruences on semilattices with section antitone involutions
Autorzy:: Chajda, Ivan
Powiązania:: https://bibliotekanauki.pl/articles/729025.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: semilattice
section
antitone involution
congruence kernel
filter
congruence distributivity
3-permutability
Opis:: We deal with congruences on semilattices with section antitone involution which rise e.g., as implication reducts of Boolean algebras, MV-algebras or basic algebras and which are included among implication algebras, orthoimplication algebras etc. We characterize congruences by their kernels which coincide with semilattice filters satisfying certain natural conditions. We prove that these algebras are congruence distributive and 3-permutable.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 2; 207-215
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Bounded lattices with antitone involutions and properties of MV-algebras
Autorzy:: Chajda, Ivan
Emanovský, Peter
Powiązania:: https://bibliotekanauki.pl/articles/728914.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: antitone involution
distributive lattice
implication algebra
MV-algebra
Opis:: We introduce a bounded lattice L = (L;∧,∨,0,1), where for each p ∈ L there exists an antitone involution on the interval [p,1]. We show that there exists a binary operation · on L such that L is term equivalent to an algebra A(L) = (L;·,0) (the assigned algebra to L) and we characterize A(L) by simple axioms similar to that of Abbott's implication algebra. We define new operations ⊕ and ¬ on A(L) which satisfy some of the axioms of MV-algebra. Finally we show what properties must be satisfied by L or A(L) to obtain all axioms of MV-algebra.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 31-42
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja