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 -