77 citations · 186 across the 20 of their papers we have counts for
3 papers · 1 filter
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…
Parallel algorithms for normalization
Janko Boehm, Wolfram Decker, Santiago Laplagne +3
Given a reduced affine algebra A over a perfect field K, we present parallel algorithms to compute the normalization \bar{A} of A. Our starting point is the algorithm of Greuel, La…
Implementing the Kustin-Miller complex construction
Janko Boehm, Stavros Argyrios Papadakis
The Kustin-Miller complex construction, due to A. Kustin and M. Miller, can be applied to a pair of resolutions of Gorenstein rings with certain properties to obtain a new Gorenste…