1 Department of Computer Science, Faculty of Science, Aarhus University, Aarhus University
Irreducible decomposition of monomial ideals has an increasing number of applications from biology to pure math. This paper presents the Slice Algorithm for computing irreducible decompositions, Alexander duals and socles of monomial ideals. The paper includes experiments showing good performance in practice.
Journal of Symbolic Computation, 2009, Vol 44, Issue 4, p. 358-381