Quasi-identities of finite semigroups and symbolic dynamics | Zendy

Stuart Margolis | Zendy; Mark Sapir | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Quasi-identities of finite semigroups and symbolic dynamics

Author(s) -

Stuart Margolis,

Mark Sapir

Publication year - 1995

Publication title -

israel journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.168

H-Index - 63

eISSN - 1565-8511

pISSN - 0021-2172

DOI - 10.1007/bf02762086

Subject(s) - mathematics , finitely generated abelian group , semigroup , variety (cybernetics) , pure mathematics , krohn–rhodes theory , algebra over a field , stallings theorem about ends of groups , special classes of semigroups , discrete mathematics , statistics

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research