On free resolutions of some semigroup rings

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BARUCCI V., Froberg R., Sahin M.

JOURNAL OF PURE AND APPLIED ALGEBRA, cilt.218, sa.6, ss.1107-1116, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.jpaa.2013.11.007
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1107-1116
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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. (C) 2013 Elsevier B.V. All rights reserved.