Indispensable binomials in semigroup ideals

Mathematics – Commutative Algebra

Scientific paper

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11 pages. This paper was initially presented at the II Iberian Mathematical Meeting (http://imm2.unex.es). To appear in the Pr

Scientific paper

10.1090/S0002-9939-2010-10456-2

In this paper, we deal with the problem of uniqueness of minimal system of
binomial generators of a semigroup ideal. Concretely, we give different
necessary and/or sufficient conditions for uniqueness of such minimal system of
generators. These conditions come from the study and combinatorial description
of the so-called indispensable binomials in the semigroup ideal.

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