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/