# Some Numerical Invariants of Multilinear Identities

Giambruno, Antonio; Mishchenko, Sergey; Zaicev, Mikhail

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 1-3, page 371-394
- ISSN: 1310-6600

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topGiambruno, Antonio, Mishchenko, Sergey, and Zaicev, Mikhail. "Some Numerical Invariants of Multilinear Identities." Serdica Mathematical Journal 38.1-3 (2012): 371-394. <http://eudml.org/doc/288251>.

@article{Giambruno2012,

abstract = {2010 Mathematics Subject Classification: Primary 16R10, 16A30, 16A50, 17B01, 17C05, 17D05, 16P90, 17A, 17D.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.},

author = {Giambruno, Antonio, Mishchenko, Sergey, Zaicev, Mikhail},

journal = {Serdica Mathematical Journal},

keywords = {Polynomial Identity; Codimensions; Colengths},

language = {eng},

number = {1-3},

pages = {371-394},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Some Numerical Invariants of Multilinear Identities},

url = {http://eudml.org/doc/288251},

volume = {38},

year = {2012},

}

TY - JOUR

AU - Giambruno, Antonio

AU - Mishchenko, Sergey

AU - Zaicev, Mikhail

TI - Some Numerical Invariants of Multilinear Identities

JO - Serdica Mathematical Journal

PY - 2012

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 38

IS - 1-3

SP - 371

EP - 394

AB - 2010 Mathematics Subject Classification: Primary 16R10, 16A30, 16A50, 17B01, 17C05, 17D05, 16P90, 17A, 17D.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.

LA - eng

KW - Polynomial Identity; Codimensions; Colengths

UR - http://eudml.org/doc/288251

ER -

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