5 citations · 6 across the 4 of their papers we have counts for
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Decomposition of Monomial Algebras: Applications and Algorithms
Janko Boehm, David Eisenbud, Max Joachim Nitsche
Considering finite extensions K[A] \subseteq K[B] of positive affine semigroup rings over a field K we have developed in [1] an algorithm to decompose K[B] as a direct sum of monom…
Decomposition of semigroup algebras
Janko Boehm, David Eisenbud, Max Joachim Nitsche
Let A \subseteq B be cancellative abelian semigroups, and let R be an integral domain. We show that the semigroup ring R[B] can be decomposed, as an R[A]-module, into a direct sum…
Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings
Max Joachim Nitsche
We show that the Eisenbud-Goto conjecture holds for (homogeneous) seminormal simplicial affine semigroup rings. Moreover, we prove an upper bound for the Castelnuovo-Mumford regula…
Natural Cohen-Macaulayfication of simplicial affine semigroup rings
Max Joachim Nitsche
Let be a field, a simplicial affine semigroup, and the corresponding cone. We will present a decomposition of into a direct sum of certain monomial ideals, wh…