Computing Irredundant Irreducible Decompositions of Large Scale Monomial Ideals

摘要

This paper outlines two methods of computing irredundant irreducible decompositions of large scale monomial ideals with tens of thousands of minimal generators. Accomplishing this task is infeasible in current available software given the algorithms they use. In contrast, an implementation was built using the methods in this paper. This implementation was able to compute large decompositions as well as other currently infeasible computations.