1 citations · 1 across the 3 of their papers we have counts for
6 papers
A common framework for test ideals, closure operations, and their duals
Neil Epstein, Rebecca R. G., Janet Vassilev
Closure operations such as tight and integral closure and test ideals have appeared frequently in the study of commutative algebra. This articles serves as a survey of the authors'…
Canonical forms of neural ideals
Hugh Geller, R. G. Rebecca
Neural ideals, originally defined in arXiv:1212.4201, give a way of translating information about the firing pattern of a set of neurons into a pseudomonomial ideal in a polynomial…
Canonical Resolutions over Koszul Algebras
Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo +3
We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul al…
Nakayama closures, interior operations, and core-hull duality
Neil Epstein, Rebecca R. G., Janet Vassilev
Exploiting the interior-closure duality developed by Epstein and R.G., we show that for the class of Matlis dualizable modules over a Noetherian local ring, when cl i…
Closure-interior duality over complete local rings
Neil Epstein, R. G. Rebecca
We define a duality operation connecting closure operations, interior operations, and test ideals, and describe how the duality acts on common constructions such as trace, torsion,…
Characteristic-free test ideals
Felipe Pérez, Rebecca R. G.
Tight closure test ideals have been central to the classification of singularities in rings of characteristic , and via reduction to characteristic , in equal characteristi…