4 citations · 5 across the 5 of their papers we have counts for
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math.AC2004★ 1 cited
Lefschetz extensions, tight closure, and big Cohen-Macaulay algebras
Matthias Aschenbrenner, Hans Schoutens
We associate to every equicharacteristic zero Noetherian local ring a faithfully flat ring extension which is an ultraproduct of rings of various prime characteristics, in a we…
math.AC2003
Bounds and definability in polynomial rings
Matthias Aschenbrenner
We study questions around the existence of bounds and the dependence on parameters for linear-algebraic problems in polynomial rings over rings of an arithmetic flavor.In particula…
math.AC2003★ 4 cited
Ideal Membership in Polynomial Rings over the Integers
Matthias Aschenbrenner
We present a new approach to the ideal membership problem for polynomial rings over the integers: given polynomials , where is an -tup…