Pseudo MV-algebras and lexicographic product


We study algebraic conditions when a pseudo MV-algebra is an interval in the lexicographic product of an Abelian unital linearly ordered group and an -group that is not necessarily Abelian. We introduce two classes of pseudo MV-algebras which can be split into a system of comparable slices indexed by elements of an interval in an Abelian linearly ordered… (More)
DOI: 10.1016/j.fss.2015.09.024