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Abstract Powers of (monomial) ideals is a subject that still calls attraction in various ways. Let be a monomial ideal and let G(I) denote the (unique) minimal monomial generating set… Click to show full abstract
Abstract Powers of (monomial) ideals is a subject that still calls attraction in various ways. Let be a monomial ideal and let G(I) denote the (unique) minimal monomial generating set of I. How small can be in terms of ? Until recently, it was widely expected that would always hold. The first counterexamples emerged in 2018 for n = 2. In this article we show that for any n and d there is an -primary monomial ideal such that for all
Keywords:
tiny powers;
high tiny;
ideals arbitrarily;
powers number;
arbitrarily high;
monomial ideals
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!