18 citations · 105 across the 29 of their papers we have counts for
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math.AC2010★ 3 cited
Noether normalizations, reductions of ideals, and matroids
Joseph P. Brennan, Neil Epstein
We show that given a finitely generated standard-graded algebra of dimension over an infinite field, its graded Noether normalizations obey a certain kind of `generic exchange'…
math.AC2010★ 12 cited
Reductions and special parts of closures
Neil Epstein
We provide an axiomatic framework for working with a wide variety of closure operations on ideals and submodules in commutative algebra, including notions of reduction, independenc…