Revistes Catalanes amb Accés Obert (RACO)

Maximal MV-algebras

Alexandru Filipoiu, George Georgescu, Ada Lettieri

Resum


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
$MV$-algebras as finite direct product of local maximal $MV$-algebras.

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