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2025-02-22T10:32:27-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
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On associative algebras satisfying the identity x⁵=0

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...

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Bibliographic Details
Main Authors: Shestakov, I., Zhukavets, N.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155957
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