Some Numerical Invariants of Multilinear Identities

Giambruno, 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 -