Quasi-identities of finite semigroups and symbolic dynamics
- Cite this article as:
- Margolis, S.W. & Sapir, M.V. Israel J. Math. (1995) 92: 317. doi:10.1007/BF02762086
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An algebra is inherently non-finitely (Q-)based if it is not a member of any locally finite (quasi-)variety, whose (quasi-)identities are finitely based. We prove that no finite semigroup is inherently non-finitely Q-based. This is in marked contrast to the case of varieties, where there are many inherently non-finitely based finite semigroups which have all been described by the second author.