5886
The first bound for syzygies ( as well as for ideal membership problem ) was given in 1926 by Grete Hermann : Let a submodule of a free module of dimension over if the coefficients over a basis of of a generating system of have a total degree at most , then there is a constant such that the degrees occurring in a generating system of the first syzygy module is at most The same bound applies for testing the membership to of an element of .
 person: Grete Hermann
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Answer:
 person: Grete Hermann