Some Numerical Invariants of Multilinear Identities
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 371-394
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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.
Keywords:
Polynomial Identity, Codimensions, Colengths
@article{SMJ2_2012_38_1-3_a16,
author = {Giambruno, Antonio and Mishchenko, Sergey and Zaicev, Mikhail},
title = {Some {Numerical} {Invariants} of {Multilinear} {Identities}},
journal = {Serdica Mathematical Journal},
pages = {371--394},
year = {2012},
volume = {38},
number = {1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a16/}
}
TY - JOUR AU - Giambruno, Antonio AU - Mishchenko, Sergey AU - Zaicev, Mikhail TI - Some Numerical Invariants of Multilinear Identities JO - Serdica Mathematical Journal PY - 2012 SP - 371 EP - 394 VL - 38 IS - 1-3 UR - http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a16/ LA - en ID - SMJ2_2012_38_1-3_a16 ER -
Giambruno, Antonio; Mishchenko, Sergey; Zaicev, Mikhail. Some Numerical Invariants of Multilinear Identities. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 371-394. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a16/