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Effective Localization Using Double Ideal Quotient and Its Implementation (2003.00220v1)
Published 29 Feb 2020 in math.AC and cs.SC
Abstract: In this paper, we propose a new method for localization of polynomial ideal, which we call "Local Primary Algorithm". For an ideal $I$ and a prime ideal $P$, our method computes a $P$-primary component of $I$ after checking if $P$ is associated with $I$ by using "double ideal quotient" $(I:(I:P))$ and its variants which give us a lot of information about localization of $I$.
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