On free resolutions of some semigroup rings |
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| Authors: | Valentina Barucci,Ralf Frö berg,Mesut Şahin |
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| Affiliation: | 1. Dipartimento di Matematica, Sapienza Università di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy;2. Matematiska Institutionen, Stockholms Universitet, S-10691 Stockholm, Sweden;3. Department of Mathematics, Çank?r? Karatekin University, 18100 Çank?r?, Turkey |
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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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| Keywords: | 13D02 14M25 |
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