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arXiv · 1008.2425

A minimal nonfinitely based semigroup whose variety is polynomially recognizable

Mikhail V. Volkov·Svetlana V. Goldberg·Stanislav I. Kublanovsky
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Abstract

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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Mikhail V. Volkov, Svetlana V. Goldberg, Stanislav I. Kublanovsky. 2010-08-14. A minimal nonfinitely based semigroup whose variety is polynomially recognizable. https://doi.org/10.1007/s10958-011-0512-6

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