- 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