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Small varieties of finite semigroups and extensions
Published online by Cambridge University Press: 09 April 2009
Abstract
We find the atoms of certain subclasses of varieties of finite semigroups and the corresponding varieties of languages. For example we give a new description of languages whose syntactic monoids are R-trivial and idempotent. We also describe the least variety containing all commutative semigroups and at least one non-commutative semigroup. Finally we extend to varieties of finite semigroups some classical results about semilattice decomposition of semigroups.
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- Research Article
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- Copyright © Australian Mathematical Society 1984
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