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Polygones
Author(s) -
Mustafin Tolende G.,
Poizat Bruno
Publication year - 1995
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19950410109
Subject(s) - unary operation , mathematics , monoid , syntactic monoid , property (philosophy) , class (philosophy) , pure mathematics , stability (learning theory) , combinatorics , discrete mathematics , algebra over a field , free monoid , computer science , artificial intelligence , philosophy , epistemology , machine learning
We study the class of structures formed by all the polygons over a given monoid, which is equivalent to the study of the varieties in a language containing only unary functions. We collect and amplify previous results concerning their stability and superstability. Then we characterize the regular monoids for which all these polygons are ω‐stable; the question about the existence of a non regular monoid with this property is left open.