A minimal nonfinitely based semigroup whose variety is polynomially recognizable

Details A minimal nonfinitely based semigroup whose variety is polynomially recognizable A minimal nonfinitely based semigroup whose variety is polynomially recognizable

2010-08-14

arxiv.org/abs/1008.2425v1

Mathematics

Group Theory

16 pages, 3 figures

Scientific paper

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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