Abstract
The complexity L(A) of a finite dimensional associative algebra A is the number of non-scalar multiplications/divisions of an optimal algorithm to compute the product of two elements of the algebra. We show
where t is the number of maximal two-sided ideals of A.
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Dedicated to Al-Khowarizmi
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© 1981 Springer-Verlag Berlin Heidelberg
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Alder, A., Strassen, V. (1981). The algorithmic complexity of linear algebras. In: Ershov, A.P., Knuth, D.E. (eds) Algorithms in Modern Mathematics and Computer Science. Lecture Notes in Computer Science, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11157-3_34
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DOI: https://doi.org/10.1007/3-540-11157-3_34
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