Quasi-identities of finite semigroups and symbolic dynamics

Stuart W. Margolis; Mark V. Sapir

doi:10.1007/bf02762086

Quasi-identities of finite semigroups and symbolic dynamics

Stuart W. Margolis
, Mark V. Sapir

University of Nebraska-Lincoln

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	317-331
Number of pages	15
Journal	Israel Journal of Mathematics
Volume	92
Issue number	1-3
DOIs	https://doi.org/10.1007/bf02762086
State	Published - Feb 1995
Externally published	Yes

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abstract = "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.",

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Quasi-identities of finite semigroups and symbolic dynamics

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