Improvements of the Alder-Strassen Bound: Algebras with Nonzero Radical

Abstract

Let C(A) denote the multiplicative complexity of a finite dimensional associative k-algebra A. For algebras A with nonzero radical radA, we exhibit several lower bound techniques for C(A) that yield bounds significantly above the Alder–Strassen bound. In particular, we prove that the multiplicative complexity of the multiplication in the algebras k[X1… (More)
DOI: 10.1007/3-540-48224-5_7

Topics

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