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A note on residually small varieties of semigroups

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Abstract

It is proved for any varietyG of groups that if the subdirectly irreducible groups inG form a set, and if the subdirectly irreducible representation algebras of groups inG form a set, then every finite group inG is Abelian. The result is essential for the characterization of residually finite varieties of semigroups.

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Authors and Affiliations

  1. University of California, Berkeley, California, USA

    Ralph McKenzie

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  1. Ralph McKenzie
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Research supported by National Science Foundation grant MCS-8103455.

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McKenzie, R. A note on residually small varieties of semigroups. Algebra Universalis 17, 143–149 (1983). https://doi.org/10.1007/BF01194524

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  • DOI: https://doi.org/10.1007/BF01194524

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