- Tytuł:
- Pseudo-BCH Semilattices
- Autorzy:
- Walendziak, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/750036.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
(pseudo-)BCK/BCI/BCH algebra
pseudo-BCH join (meet)-semilattice
weakly regular
arithmetical at 1 - Opis:
- In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, respectively. We prove that the class of all pseudo-BCH join-semilattices is a variety and show that it is weakly regular, arithmetical at 1, and congruence distributive. In addition, we obtain the systems of identities defininig pseudo-BCH meet-semilattices and pseudo-BCH lattices.
- Źródło:
-
Bulletin of the Section of Logic; 2018, 47, 2
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł