On associative algebras satisfying the identity x5 = 0

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/91

Title:	On associative algebras satisfying the identity x5 = 0
Authors:	Shestakov, Ivan Zhukavets, Natalia
Issue Date:	2004
Publisher:	Луганский национальный университет им. Т. Шевченко
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.
URI:	http://hdl.handle.net/123456789/91
Appears in Collections:	Статті

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