- Tytuł:
- On implicative and maximal ideals of BL-algebras
- Autorzy:
- Walendziak, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/746457.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- BL-algebra, MV-algebra, implicative (maximal) ideal
- Opis:
- In the theory of MV-algebras, implicative ideals are studied by Hoo and Sessa. In this paper we define and characterize implicative ideals of BL-algebras. We also investigate maximal ideals of BL-algebras and prove that if an ideal is prime and implicative, then it is maximal. Moreover, we show that an ideal is maximal if and only if the quotient BL-algebra is a simple MV-algebra. Finally, we give the homomorphic properties of implicative and maximal ideals.
- Źródło:
-
Commentationes Mathematicae; 2014, 54, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł