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

JUAN MANUEL CORNEJO; LAURA ALICIA RUEDA

ALGEBRA UNIVERSALIS

BIRKHAUSER VERLAG AG

Lugar: BASEL; Año: 2015 vol. 73 p. 23 - 42

0002-5240

The aim of this paper is to study the variety $IMT n$ and some of its subvarieties. After proving some general properties of $IMTn$-chains, we characterize the $IMT 4$-chains and we provide a complete description of some subvarieties of $IMT 4$. We establish a relationship between the totally symmetric partitions of the $m$-cube and the $IMT 4$-chains, and as a consequence of this relationship, we show a procedure to construct all the finite $IMT 4$-chains.