Codimensions of products and of intersections of verbally primeT-ideals
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By Kemer’s theory ,T idealsJ1 ∪…∪Jr andJ1 …Jr, where eachJi 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.
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