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2
votes
Accepted
Reducedness of a ring with prime nilradical
A Noetherian ring is reduced if and only if it is $(R_0)$ and $(S_1)$. (See, for example, http://stacks.math.columbia.edu/tag/031R ) This condition can be used to provide a simple proof that your ri …
6
votes
Algorithm for Weierstrass Preparation Theorem for Formal Power Series
If you're still interested in the answer to this...I also needed an explicit algorithm for calculating associated Weierstrass polynomials and provide two such algorithms in http://arxiv.org/abs/1107.4 …