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Relative Abelian kernels of some classes of transformation monoids
Published online by Cambridge University Press: 17 April 2009
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We consider the symmetric inverse monoid ℐn of an n-element chain and its inverse submonoids ℐn, ℐn, ℐn and ℘ℐn of all order-preserving, order-preserving or order-reversing, orientation-preserving and orientation-preserving or orientation-reversing transformations, respectively, and give descriptions of their Abelian kernels relative to decidable pseudovarieties of Abelian groups.
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- Copyright © Australian Mathematical Society 2006
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