On associative algebras satisfying the identity x⁵=0

dc.contributor.author	Shestakov, I.
dc.contributor.author	Zhukavets, N.
dc.date.accessioned	2019-06-17T15:50:43Z
dc.date.available	2019-06-17T15:50:43Z
dc.date.issued	2004
dc.identifier.citation	On associative algebras satisfying the identity x⁵=0 / I. Shestakov, N. Zhukavets // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 112–120. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 16R10; 16N40, 16R30, 16W55.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155957
dc.description.abstract	We study Kuzmin’s conjecture on the index of nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for k-generator N il₅-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	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On associative algebras satisfying the identity x⁵=0	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA