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math.AC2024
A family of simplicial resolutions which are DG-algebras
James Cameron, Trung Chau, Sarasij Maitra +1
Each monomial ideal over a polynomial ring admits a free resolution which has the structure of a DG-algebra, namely, the Taylor resolution. A pivot resolution of a monomial ideal,…
math.AC2024
Annihilators of (co)homology and their influence on the trace Ideal
Justin Lyle, Sarasij Maitra
Let be a commutative Noetherian local ring, and suppose is Cohen-Macaulay with canonical module . We develop new tools for analyzing questions involving…
math.AC2024
Two Criteria For Quasihomogeneity
Sarasij Maitra, Vivek Mukundan
Let be a one-dimensional complete local reduced -algebra over a field of characteristic zero. The ring is said to be quasihomogeneous if there exists…