The membership probl mixed polynomial i solvable in single exp
نویسندگان
چکیده
Dickenstein, A., N. Fitchas, M. Giusti and C. Sessa, The membership problem for unmixed polynomial ideals is solvable in single exponential time, Discrete Applied Mathematics 33 (1991) 73-94. Deciding membership for polynomial ideals represents a classical problem of computational commutative algebra which is exponential space hard. This means that the usual al membership problem which are based on linear algebra techniques have doubly exponential sequential worst case complexity. We show that the membership problem has single exponential sequential and polynomial parallel complexity for unmixed ideals. More specific complexity results are given for the special cases of zero-dimensional and complete intersection ideals.
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