In this paper we define maximal MV-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal MV-algebra is semilocal, then we characterize a maximal MV-algebra as finite direct product of local maximal MV-algebras.
@article{urn:eudml:doc:39098,
title = {Maximal MV-algebras.},
journal = {Mathware and Soft Computing},
volume = {4},
year = {1997},
pages = {53-62},
zbl = {0882.06008},
mrnumber = {MR1463108},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39098}
}
Filipoiu, Alexandru; Georgescu, George; Lettieri, Ada. Maximal MV-algebras.. Mathware and Soft Computing, Tome 4 (1997) pp. 53-62. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39098/