On n-perfect GMV-algebras

We introduce the class of n-perfect GMV-algebras. Such algebras can be split into n+1 comparable slices. We present an equational base for the variety generated by n-perfect GMV-algebras.We define the category of strong n-perfect GMV-algebras and we show that every strong n-perfect GMV-algebra is always an interval in a lexicographical product of Z with an ℓ-group. We prove that the variety generated by strong n-perfect GMV-algebras is generated by a one strong n-perfect GMV-algebra.