Digital Repository of Luhansk Taras Shevchenko National University
On associative algebras satisfying the identity x5 = 0
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| dc.contributor.author | Shestakov, Ivan | |
| dc.contributor.author | Zhukavets, Natalia | |
| dc.date.accessioned | 2015-10-22T12:00:32Z | |
| dc.date.available | 2015-10-22T12:00:32Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/91 | |
| dc.description | We study Kuzmin’s conjecture on the index of nilpotency for the variety Nil5 of associative nil-algebras of de- gree 5. Due to Vaughan-Lee the problem is reduced to that for k-generator Nil5-superalgebras, where k ≤ 5. We confirm Kuzmin’s conjecture for 2-generator superalgebras proving that they are nilpotent of degree 15. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Луганский национальный университет им. Т. Шевченко | uk_UA |
| dc.title | On associative algebras satisfying the identity x5 = 0 | uk_UA |
| dc.type | Article | uk_UA |
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IV International Algebraic Conference in Ukraine. This volume consists of papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.