A note on congruence systems of MS-algebras

Campercholi, M., and Vaggione, Diego. "A note on congruence systems of MS-algebras." Mathematica Bohemica 132.4 (2007): 337-343. <http://eudml.org/doc/250262>.

@article{Campercholi2007,
abstract = {Let $L$ be an MS-algebra with congruence permutable skeleton. We prove that solving a system of congruences $(\theta _\{1\},\ldots ,\theta _\{n\};x_\{1\} ,\ldots ,x_\{n\})$ in $L$ can be reduced to solving the restriction of the system to the skeleton of $L$, plus solving the restrictions of the system to the intervals $[x_\{1\},\bar\{\bar\{x\}\}_\{1\}],\dots ,[x_\{n\},\bar\{ \bar\{x\}\}_\{n\}].$},
author = {Campercholi, M., Vaggione, Diego},
journal = {Mathematica Bohemica},
keywords = {MS-algebra; permutable congruence; congruence system; MS-algebra; permutable congruence; congruence system},
language = {eng},
number = {4},
pages = {337-343},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on congruence systems of MS-algebras},
url = {http://eudml.org/doc/250262},
volume = {132},
year = {2007},
}

TY - JOUR
AU - Campercholi, M.
AU - Vaggione, Diego
TI - A note on congruence systems of MS-algebras
JO - Mathematica Bohemica
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 132
IS - 4
SP - 337
EP - 343
AB - Let $L$ be an MS-algebra with congruence permutable skeleton. We prove that solving a system of congruences $(\theta _{1},\ldots ,\theta _{n};x_{1} ,\ldots ,x_{n})$ in $L$ can be reduced to solving the restriction of the system to the skeleton of $L$, plus solving the restrictions of the system to the intervals $[x_{1},\bar{\bar{x}}_{1}],\dots ,[x_{n},\bar{ \bar{x}}_{n}].$
LA - eng
KW - MS-algebra; permutable congruence; congruence system; MS-algebra; permutable congruence; congruence system
UR - http://eudml.org/doc/250262
ER -