On the codimensions of the verbally prime P.I. algebras |
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| Authors: | Allan Berele Amitai Regev |
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| Affiliation: | (1) Department of Mathematics, DePaul University, 60614 Chicago, IL, USA;(2) Department of Mathematics, The Pennsylvania State University, 16802 University Park, PA, USA;(3) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel |
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| 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. Work supported by NSF grant DMS 9100258. Work supported by NSF grant DMS 9101488. |
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