1. Higher degrees of distributivity in $MV$-algebras
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $MV$-algebra, archimedean $MV$-algebra, completeness, singular $MV$-algebra, and higher degrees of distributivity
- Language:
- English
- Description:
- In this paper we deal with the of an $MV$-algebra $\mathcal A$, where $\alpha $ and $\beta $ are nonzero cardinals. It is proved that if $\mathcal A$ is singular and $(\alpha,2)$-distributive, then it is . We show that if $\mathcal A$ is complete then it can be represented as a direct product of $MV$-algebras which are homogeneous with respect to higher degrees of distributivity.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public