99d:13031 13P10 (68Q25)
Bürgisser, Peter(CH-ZRCH)
On the parallel complexity of the polynomial ideal membership problem. (English. English summary)
J. Complexity 14 (1998), no. 2, 176--189.

Summary: "The complexity of the polynomial ideal membership problem over arbitrary fields within the framework of arithmetic networks is investigated. We prove that the parallel complexity of this problem is single exponential over any infinite field. Our lower bound is obtained by combining a modification of E. W. Mayr and A. R. Meyer's key construction [Adv. in Math. 46 (1982), no. 3, 305--329; MR 84g:20099] with an elementary degree bound."

Reviewed by Ralf Froberg

Copyright American Mathematical Society 1999, 2000

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