Codimensions of products and of intersections of verbally primeT-ideals |
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| Authors: | A Berele A Regev |
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| Institution: | (1) Mathematics Department, 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: | By Kemer’s theory 9],T idealsJ
1 ∪…∪J
r andJ
1 …J
r, where eachJ
i is verbally prime, are of fundamental importance in the theory of P.I. algebras. We calculate, approximately and asymptotically,
the codimensions of suchT-ideals, thereby extending the corresponding results about matrix algebras. In all such cases, the exponential growth of the
codimensions is calculated; in particular, it is always an integer.
Partially supported by NSF grant DMS 9303230.
Partially supported by NSF grant DMS 9101488. |
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| Keywords: | |
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