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A note on residually small varieties of semigroups
Authors:Ralph McKenzie
Institution:1. University of California, Berkeley, California, USA
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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