TY - JOUR

T1 - Polynomial identities in nil-algebras

AU - Aladova, Elena V.

AU - Krasilnikov, Alexei N.

PY - 2009/11

Y1 - 2009/11

N2 - We prove that in associative algebras over a field F of characteristic p ≥ 3 the polynomial identity x2p = 0 is not Specht. To prove this we construct a non-finitely based system of polynomial identities which contains the identity x2p = 0. We also give an example of a non-Specht polynomial identity of degree 2p in unital associative F-algebras.

AB - We prove that in associative algebras over a field F of characteristic p ≥ 3 the polynomial identity x2p = 0 is not Specht. To prove this we construct a non-finitely based system of polynomial identities which contains the identity x2p = 0. We also give an example of a non-Specht polynomial identity of degree 2p in unital associative F-algebras.

UR - http://www.scopus.com/inward/record.url?scp=77950681804&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-09-04977-0

DO - 10.1090/S0002-9947-09-04977-0

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AN - SCOPUS:77950681804

SN - 0002-9947

VL - 361

SP - 5629

EP - 5646

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

ER -