Effect-like algebras induced by means of basic algebras

In: Mathematica Slovaca, vol. 60, no. 1

Ivan Chajda

Detaily:

Rok, strany: 2010, 21 - 32

Kľúčové slová:

effect algebra, MV-algebra, basic algebra, weak effect algebra, commutative weak effect algebra

DOI: https://doi.org/10.2478/s12175-009-0164-x

O článku:

Having an MV-algebra, we can restrict its binary operation addition only to the pairs of orthogonal elements. The resulting structure is known as an effect algebra, precisely distributive lattice effect algebra. Basic algebras were introduced as a generalization of MV-algebras. Hence, there is a natural question what an effect-like algebra can be reached by the above mentioned construction if an MV-algebra is replaced by a basic algebra. This is answered in the paper and properties of these effect-like algebras are studied.

Ako citovať:

ISO 690:

Chajda, I. 2010. Effect-like algebras induced by means of basic algebras. In Mathematica Slovaca, vol. 60, no.1, pp. 21-32. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0164-x

APA:

Chajda, I. (2010). Effect-like algebras induced by means of basic algebras. Mathematica Slovaca, 60(1), 21-32. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0164-x

O vydaní: