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arxiv: 0903.1030 · v2 · pith:HT54RVITnew · submitted 2009-03-05 · 🧮 math.AC · math.CO

Indispensable binomials in semigroup ideals

classification 🧮 math.AC math.CO
keywords semigroupbinomialsconditionsgeneratorsidealindispensableminimalsystem
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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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