Abstract
Razmyslov’s theory of trace identities for the prime P.I. algebrasM k, l is applied to give bounds for the cocharacters and the codimensions of these algebrasM k, l, as well as for the matrix algebrasM k(E) over the Grassmann algebraE. These bounds are easier to obtain and are better (tighter) than earlier obtained bounds.
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Work supported by NSF grant DMS 9100258.
Work supported by NSF grant DMS 9101488.
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Berele, A., Regev, A. On the codimensions of the verbally prime P.I. algebras. Israel J. Math. 91, 239–247 (1995). https://doi.org/10.1007/BF02761648
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DOI: https://doi.org/10.1007/BF02761648