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Absolute retracts and essential extensions in congruence modular varieties

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This paper studies absolute retracts in congruence modular varieties of universal algebras. It is shown that every absolute retract with finite dimensional congruence lattice is a product of subdirectly irreducible algebras. Further, every absolute retract in a residually small variety is the product of an abelian algebra and a centerless algebra.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Stellenbosch University, Stellenbosch, 7600, South Africa

    Peter Ouwehand

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  1. Peter Ouwehand
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Correspondence to Peter Ouwehand.

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Presented by R. Freese.

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Ouwehand, P. Absolute retracts and essential extensions in congruence modular varieties. Algebra Univers. 69, 201–211 (2013). https://doi.org/10.1007/s00012-012-0217-9

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  • DOI: https://doi.org/10.1007/s00012-012-0217-9

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