Some remarks on autoequivalences of categories
| dc.creator | Zhitomirski, Grigori | |
| dc.date | 2004-03-23 | |
| dc.date.accessioned | 2026-07-07T05:06:41Z | |
| dc.date.available | 2026-07-07T05:06:41Z | |
| dc.description | Prof. Boris I. Plotkin [arXiv:math.GM/0210194, arXiv:math.GM/0204245] drew attention to the question when an equivalence between two categories is isomorphic as a functor to an isomorphism between them. It turns out that it is quite important for universal algebraical geometry and concerns mainly the categories $Θ\sp 0 (X) $ of free universal algebras of some variety $Θ$ free generated by finite subsets of $X$. In the paper, a complete answer to the Plotkin's question is given: there are no proper autoequivalences of the category $Θ\sp 0 (X) $. Also some connected problems are discussed. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403394 | |
| dc.identifier | http://arxiv.org/abs/math/0403394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70564 | |
| dc.subject | General Mathematics | |
| dc.subject | Category Theory | |
| dc.subject | 18A99 (Primery) 08B20, 08A35 | |
| dc.title | Some remarks on autoequivalences of categories | |
| dc.type | text |