On some subvarieties of IMTn-algebras and the partitions of the m-cube

摘要

The aim of this paper is to study the variety and some of its subvarieties. After proving some general properties of IMTn-chains, we characterize IMT4-chains and we provide a complete description of some subvarieties of . We establish a relationship between totally symmetric partitions of the m-cube and IMT4-chains, and as a consequence of this relationship, we give a procedure to construct all finite IMT4-chains.