Higher degrees of distributivity in $MV$-algebras

Jakubík, Ján. "Higher degrees of distributivity in $MV$-algebras." Czechoslovak Mathematical Journal 53.3 (2003): 641-653. <http://eudml.org/doc/30806>.

@article{Jakubík2003,
abstract = {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.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {$MV$-algebra; archimedean $MV$-algebra; completeness; singular $MV$-algebra; higher degrees of distributivity; MV-algebra; archimedean MV-algebra; completeness; singular MV-algebra; higher degrees of distributivity},
language = {eng},
number = {3},
pages = {641-653},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Higher degrees of distributivity in $MV$-algebras},
url = {http://eudml.org/doc/30806},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jakubík, Ján
TI - Higher degrees of distributivity in $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 3
SP - 641
EP - 653
AB - 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.
LA - eng
KW - $MV$-algebra; archimedean $MV$-algebra; completeness; singular $MV$-algebra; higher degrees of distributivity; MV-algebra; archimedean MV-algebra; completeness; singular MV-algebra; higher degrees of distributivity
UR - http://eudml.org/doc/30806
ER -