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math.AC2021★ 2 cited
Classifying Nearly Complete Intersection Ideals Generated in Degree Two
Charlie Miller, Branden Stone
Nearly complete intersection ideals were introduced by A. Boocher and J. Seiner (2018) and defines a special class of monomial ideals in a polynomial ring. These ideals were used t…
math.AC2011
Ideals with Larger Projective Dimension and Regularity
Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3
We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and impro…