The index of a numerical semigroup ring
- Autores: Oana Veliche
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 10, 2013, págs. 1994-2001
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.01.006
- Enlaces
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Resumen
Let R = k[| ta, tb, tc |] be a complete intersection numerical semigroup ring over an infinite field k, where a, b, c �¸ N. The generalized Loewy length, which is Auslander�fs index in this case, is computed in terms of the minimal generators of the semigroup: a, b and c. Examples provided show that the left hand side of Ding�fs inequality mult(R).index(R).codim(R)+ 1 . 0 can be made arbitrarily large for rings R with edim(R) = 3. The index of a complete intersection numerical semigroup ring with embedding dimension greater than three is also computed.
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