The extension monoid product of preinjective and preprojective Kronecker modules
Let P, P' be preprojective and I, I' preinjective Kronecker modules. Working with the extension monoid product, we give conditions for the existence of short exact sequences of the form 0-tP->/->/'-} 0 (and dually for 0—> P' —> P —» / —>0). We show tha t the existe...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-012-315-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/34835 |
| Tartalmi kivonat: | Let P, P' be preprojective and I, I' preinjective Kronecker modules. Working with the extension monoid product, we give conditions for the existence of short exact sequences of the form 0-tP->/->/'-} 0 (and dually for 0—> P' —> P —» / —>0). We show tha t the existence of these short exact sequences is equivalent with the existence of certain short exact sequences of preinjective (respectively preprojective) Kronecker modules, hence they obey the combinatorial rule described in. |
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| Terjedelem/Fizikai jellemzők: | 419-432 |
| ISSN: | 0001-6969 |