Prime and maximal filters for the free algebra in the subvariety of BL-algebras generated by [0; 1]_MV \oplus H

LUBOMIRSKY, NOEMÍ; CASTIGLIONI, JOSÉ LUIS

Vichy

Congreso; 6th World Congress on Universal Logic; 2018

Vichy University - Campus France

In this work we concentrate in the subvariety MS of BL generated by the ordinal sum of the algebra [0;1]_MV and a hoop H, that is, generated by S = [0;1]_MV oplus H. We study the filters in Free_MS(n). We also give a description of the maximal filters and a correspondence between maximal filters on Free_MS(n) and the points of the cube [0; 1]^n_MV.