Degree and Algebraic Properties of Lattice and Matrix Ideals
Degree and Algebraic Properties of Lattice and Matrix Ideals
We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to compute the degree in terms of the torsion of certain factor groups of $\mathbb{Z}^s$ and in terms of relative volumes of lattice polytopes. We also study primary decompositions of lattice ideals over an arbitrary field …