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| Title: | On the wild rank conjecture of Han |
| Authors: | Kasjan, Stanisƚaw |
| Keywords: | Álgebra salvaje;Variedad de álgebras;Conjetura de rango salvaje;Eliminación cuantitativa;Wild algebra;Wild rank conjecture;Quantifierer elimination;Variety of algebras |
| Issue Date: | 2008 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | The concept of rank of a wild algebra, introduced by Y. Han in [8], is discussed and, after a slight modification, investigated by means of Tarski's quantifier elimination theorem. This method allows, in particular, to prove that if there is a regular one-parameter family of d-dimensional algebras, uncountably many of them wild, then the whole family consists of wild algebras. A possible approach to the general question if tame is open is discussed. |
| URI: | http://hdl.handle.net/10662/14568 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 23, nº 3 (2008) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 0213-8743_23_3_279.pdf | 191,63 kB | Adobe PDF | View/Open |
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