BulDML at Institute of Mathematics and Informatics: Some Numerical Invariants of Multilinear Identities

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BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Serdica Mathematical Journal >
2012 >
Volume 38, Number 1-3 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2801

Title:	Some Numerical Invariants of Multilinear Identities
Authors:	Giambruno, Antonio Mishchenko, Sergey Zaicev, Mikhail
Keywords:	Polynomial Identity Codimensions Colengths
Issue Date:	2012
Publisher:	Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:	Serdica Mathematical Journal, Vol. 38, No 1-3, (2012), 371p-394p
Abstract:	We consider non-necessarily associative algebras over a field of characteristic zero and their polynomial identities. Here we describe most of the results obtained in recent years on two numerical sequences that can be attached to the multilinear identities satisfied by an algebra: the sequence of codimensions and the sequence of colengths.
Description:	2010 Mathematics Subject Classification: Primary 16R10, 16A30, 16A50, 17B01, 17C05, 17D05, 16P90, 17A, 17D.
URI:	http://hdl.handle.net/10525/2801
ISSN:	1310-6600
Appears in Collections:	Volume 38, Number 1-3

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