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Congruences of the semigroup $\mathcal{IO}_{\mathbb{N}}$ (in Ukrainian) |
| Author |
V. O. Pyekhtyeryev, K. S. Tråtyak
vasiliy@univ.kiev.ua,
ch_slavka@ukr.net
ÊÍÓ iì.Òàðàñà Øåâ÷åíêî
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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. |
| Keywords |
congruence; natural order |
| Reference |
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7. Ëèáåð À.Å. Î ñèììåòðè÷åñêèõ îáîáùåííûõ ãðóïïàõ. Ìàò. ñáîðíèê. – 1953. – Ò.33(75), ¹3. –
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| Pages |
22-27 |
| Volume |
35 |
| Issue |
1 |
| Year |
2011 |
Journal |
Matematychni Studii |
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