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Congruences of the semigroup $mathcal{IO}_{mathbb{N}}$ (in Ukrainian)
Journal: Matematychni Studii (Vol.35, No. 1)Publication Date: 2011-01-01
Authors : Pyekhtyeryev V. O.; Tratyak K. S.;
Page : 22-27
Keywords : congruence; natural order;
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- Congruences of the semigroup $mathcal{IO}_{mathbb{N}}$ (in Ukrainian)
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Abstract
We describe congruences of the semigroup $mathcal{IO}_{mathbb{N}}$ of all order-preserving partial bijections on the set $mathbb{N}$ with the natural order. In particular, we prove that this semigroup contains only one non-Rees congruence.
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