9 citations · 51 across the 15 of their papers we have counts for
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math.AC2015★ 2 cited
Gröbner Fans of x-homogeneous Ideals in R[[t]][x]
Thomas Markwig, Yue Ren
We generalise the notion of Gröbner fan to ideals in R[[t]][x_1,...,x_n] for certain classes of coefficient rings R and give a constructive proof that the Gröbner fan is a rational…
math.AG2015★ 8 cited
Standard Bases in mixed Power Series and Polynomial Rings over Rings
Thomas Markwig, Yue Ren, Oliver Wienand
In this paper we study standard bases for submodules of a mixed power series and polynomial ring respectively of their localization with res…
math.AC2015★ 2 cited
Mora's holy grail: Algorithms for computing in localizations at prime ideals
Magdaleen S. Marais, Yue Ren
This article discusses a computational treatment of the localization A_L of an affine coordinate ring A at a prime ideal L and its associated graded ring Gr_a(A_L) with the means o…