This paper is devoted to a review of some of the most significant results obtained in the theory of polynomial identities and tracepolynomial identities. Some of the most important problems in thisarea concern the relation between identities in characteristic 0and p>0 and the classification of prime varieties. Here theauthors present their achievements on the subject and makes someconjectures. Among others they give results on the classification ofthe multilinear identities of the prime subvarieties of the varietygenerated by the algebra of 2X2 matrices over a field ofpositive characteristic.
|Stato di pubblicazione||Published - 2008|