Complete Intersection Lattice Ideals

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

In this paper we completely characterize lattice ideals that are complete
intersections or equivalently complete intersections finitely generated
semigroups of $\bz^n\oplus T$ with no invertible elements, where $T$ is a
finite abelian group. We also characterize the lattice ideals that are
set-theoretic complete intersections on binomials.

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