Finitely generated algebras with involution and their identities

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• 作者：Irina Sviridova¹ ; ^{I.Sviridova@mat.unb.br}
• 关键词：primary ; 16R50 ; secondary ; 16W50 ; 16R10
• 刊名：Journal of Algebra
• 出版年：2013
• 出版时间：1 June, 2013
• 年：2013
• 卷：383
• 期：Complete
• 页码：144-167
• 全文大小：416 K

文摘

We consider associative algebras with involution over a field of characteristic zero. In this case, we prove that for any finitely generated associative algebra with involution there exists a finite dimensional algebra with involution which satisfies the same identities with involution. This is an analogue and an extension of the theorem of A.R. Kemer for ordinary identities (Kemer, 1991 ). The similar results were proved earlier by the author for identities graded by a finite abelian group (Sviridova, 2011 ), and by E. Aljadeff, and A. Kanel-Belov (2010) for identities graded by any finite group.