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arxiv: 1008.2425 · v1 · pith:ISJF2ID5new · submitted 2010-08-14 · 🧮 math.GR · cs.CC

A minimal nonfinitely based semigroup whose variety is polynomially recognizable

classification 🧮 math.GR cs.CC
keywords finitesemigroupvarietywhoseadmitsalgorithmbasiselement
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We exhibit a 6-element semigroup that has no finite identity basis but nevertheless generates a variety whose finite membership problem admits a polynomial algorithm.

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