We present the classification, up to PI-equivalence, of thealgebras over a field of characteristic zero whose sequence ofcodimensions is linearly bounded. We also describe thegeneralization of this result in the setting of superalgebras andtheir graded identities. As a consequence we determine all linearfunctions describing the ordinary codimensions and the gradedcodimensions of a given algebra.
|Number of pages||10|
|Publication status||Published - 2006|