Abstract
A countable chain of varieties generated by finite completely 0-simple semigroups over a two element group in which finitely based varieties alternate with non finitely based ones is constructed. In particular, this construction gives negative answers to two questions from [14] and [15].
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Communicated by Boris M. Schein
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Mashevitzky, G. On the finite basis problem for completely 0-simple semigroup identities. Semigroup Forum 59, 197–219 (1999). https://doi.org/10.1007/s002339900044
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DOI: https://doi.org/10.1007/s002339900044