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

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The aim of this paper is to study the variety \({\mathbb{IMT}n}\) 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 \({\mathbb{IMT}4}\). 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.

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Authors and Affiliations

  1. Departamento de Matemática, INMABB - CONICET, Universidad Nacional del Sur, Alem, 1253, Bahía Blanca, Argentina

    Juan M. Cornejo & Laura A. Rueda

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  1. Juan M. Cornejo
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  2. Laura A. Rueda
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Correspondence to Juan M. Cornejo.

Additional information

Presented by C. Tsinakis.

The support of CONICET is gratefully acknowledged by the first author.

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Cornejo, J.M., Rueda, L.A. On some subvarieties of IMTn-algebras and the partitions of the m-cube. Algebra Univers. 73, 23–42 (2015). https://doi.org/10.1007/s00012-014-0312-1

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  • DOI: https://doi.org/10.1007/s00012-014-0312-1

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