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math.AC2025
On a minimal free resolution of the residue field over a local ring of codepth 3 of class
Van C. Nguyen, Oana Veliche
Let be any noetherian local ring with residue field , and the homology of the Koszul complex on a minimal set of generators of the maximal ideal of . In this paper, w…
math.AC2025
A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal
Rachel Diethorn, Sema Güntürkün, Alexis Hardesty +4
We examine the ideal in the polynomial ring , where is a field of characteristic zero or greater than . We…