On algebras and superalgebras with linear codimension growth

Research output: Contribution to conferenceOther

Abstract

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.
Original languageEnglish
Pages173-182
Number of pages10
Publication statusPublished - 2006

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