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;
- Congruences of the semigroup $mathcal{IO}_{mathbb{N}}$ (in Ukrainian)
- Trivial $I^tau$ fibrations of the multiplication maps for monads $mathbb{O}$, $mathbb{OH}$ and $mathbb{OS}$
- Integral $K$-Operator Frames for $End_{mathcal{A}}^{ast}(mathcal{H})$
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- The discontinuity point set of $mathcal{A}$-continuous functions (in Ukrainian)
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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