On free resolutions of some semigroup rings

Valentina Barucci; Ralf Fröberg; Mesut Şahin

doi:10.1016/j.jpaa.2013.11.007

On free resolutions of some semigroup rings

Valentina Barucci
, Ralf Fröberg
, Mesut Şahin

University of Rome La Sapienza
Stockholm University
Çankiri Karatekin University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

21 Alıntılar (Scopus)

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1107-1116
Sayfa sayısı	10
Dergi	Journal of Pure and Applied Algebra
Hacim	218
Basın numarası	6
DOI'lar	https://doi.org/10.1016/j.jpaa.2013.11.007
Yayın durumu	Yayınlandı - Haz 2014
Harici olarak yayınlandı	Evet

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10.1016/j.jpaa.2013.11.007

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On free resolutions of some semigroup rings

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