Depth and regularity modulo a principal ideal
classification
🧮 math.AC
math.AGmath.CO
keywords
depthregularityidealidealsconsequencesedgeformhomogeneous
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We study the relationship between depth and regularity of a homogeneous ideal I and those of (I,f) and I:f, where f is a linear form or a monomial. Our results has several interesting consequences on depth and regularity of edge ideals of hypegraphs and of powers of ideals.
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