Abelian Kernels of Monoids of Order-preserving Maps and of Some of Its Extensions
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We compute the abelian kernels of some monoids of partial transformations. More precisely, the cases of the symmetric inverse monoid, monoids of order-preserving or order-reversing transformations and monoids of orientation-preserving or orientation-reversing transformations are treated.
KeywordsPartial Transformation Inverse Monoid Abelian Kernel Symmetric Inverse Monoid
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