Abstract.
A variety \( \Bbb V \) is subdirectly dominated if every algebra A in \( \Bbb V \) is embeddable into a subdirectly irreducible algebra belonging to \( \Bbb V \). We characterize the subdirectly dominated semigroup varieties of nil semigroups, of commutative semigroups, and of completely regular semigroups.
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Received June 28, 1995; accepted in final form May 21, 1997.
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Demlová, M., Koubek, V. Subdirectly dominated semigroup varieties. Algebra univers. 38, 15–35 (1997). https://doi.org/10.1007/s000120050036
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DOI: https://doi.org/10.1007/s000120050036