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Infinite idempotent quasi-affine algebras need not be hereditarily absorption free

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Abstract

It is known that for finite algebras, solvable implies hereditarily absorption free. We present an example which shows that this implication does not hold for infinite algebras. This example is also quasi-affine, contradicting an earlier statement that quasi-affine algebras are hereditarily absorption free.

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References

  1. Barto, L., Kozik, M., Stanovsky, D.: Maltsev conditions, lack of absorption, and solvability. Algebra Universalis 74, 185–206 (2015)

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  1. Department of Mathematical Sciences, Binghamton University, Vestal, 13850, USA

    Joe Cyr

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  1. Joe Cyr
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Correspondence to Joe Cyr.

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Cyr, J. Infinite idempotent quasi-affine algebras need not be hereditarily absorption free. Algebra Univers. 79, 39 (2018). https://doi.org/10.1007/s00012-018-0521-0

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  • DOI: https://doi.org/10.1007/s00012-018-0521-0

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