We classify, up to PI-equivalence, the superalgebras over a field of characteristic zero whose sequence of codimensions is linearly bounded. As a consequence we determine the linear functions describing the graded codimensions of a superalgebra.
GIAMBRUNO A, LA MATTINA D, MISSO P (2006). Polynomial identities on superalgebras: classifying linear growth. JOURNAL OF PURE AND APPLIED ALGEBRA, 207(207), 215-240.
Polynomial identities on superalgebras: classifying linear growth
GIAMBRUNO, Antonino;LA MATTINA, Daniela;MISSO, Paola
2006-01-01
Abstract
We classify, up to PI-equivalence, the superalgebras over a field of characteristic zero whose sequence of codimensions is linearly bounded. As a consequence we determine the linear functions describing the graded codimensions of a superalgebra.
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