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arXiv · 1211.4747

On free resolutions of some semigroup rings

Valentina Barucci·Ralf Fröberg·Mesut Sahin
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Abstract

For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension 3, and symmetric or pseudosymmetric of embedding dimension 4, presentations has been determined in the literature. We extend these results by giving the whole graded minimal free resolutions explicitly. Then we use these resolutions to determine some invariants of the semigroups and certain interesting relations among them. Finally, we determine semigroups of small embedding dimensions which have strongly indispensable resolutions.

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Valentina Barucci, Ralf Fröberg, Mesut Sahin. 2013-09-10. On free resolutions of some semigroup rings. https://arxiv.org/abs/1211.4747

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