On implicative and maximal ideals of BL-algebras

• Autorzy: Andrzej Walendziak
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

BL-algebra, MV-algebra, implicative (maximal) ideal

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: 54
• Numer: 2

Daty

wydano

2014

online

2014-12-15

Twórcy

autor

Andrzej Walendziak

Identyfikatory

DOI

10.14708/cm.v54i2.705