Radicals in non-commutative generalizations of MV-algebras
Jiří Rachůnek · Czech digital mathematics library · 2002
GMV-algebrasare a non-commutative generalization of MV-algebras.In the paper, structure properties of GMV-algebras are studied using a duality between GMV-algebras and unital ^-groups.Three kinds of radicals of GA/V-algebras are investigated in general and, particularly, in the cases of finite valued and normal-valued GMV-algebras.A class of GMV-algebras possessing infinitely many state-morphisms is described.