Simplified conditions for type-I and type-II monoids
In a previous paper, we obtained conditions on a monoid M for its prefix expansion to be either a left restriction monoid (in which case M must be either 'type-I' or 'type-II') or a left ample monoid (M is 'type-la' or 'typeIla'). In the present paper, we demo...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16380 |
| Tartalmi kivonat: | In a previous paper, we obtained conditions on a monoid M for its prefix expansion to be either a left restriction monoid (in which case M must be either 'type-I' or 'type-II') or a left ample monoid (M is 'type-la' or 'typeIla'). In the present paper, we demonstrate that there is some redundancy in these conditions. We therefore trim down the sets of conditions and show, by construction of suitable counterexamples, that the reduced sets of conditions are independent. |
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| Terjedelem/Fizikai jellemzők: | 63-72 |
| ISSN: | 0001-6969 |