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

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1107-1116
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	218
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2013.11.007
Publication status	Published - Jun 2014
Externally published	Yes

Access to Document

10.1016/j.jpaa.2013.11.007

Cite this

@article{b0127677d3ba4c21ac6736bd8c9e1607,

title = "On free resolutions of some semigroup rings",

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.",

author = "Valentina Barucci and Ralf Fr{\"o}berg and Mesut {\c S}ahin",

year = "2014",

month = jun,

doi = "10.1016/j.jpaa.2013.11.007",

language = "English",

volume = "218",

pages = "1107--1116",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - On free resolutions of some semigroup rings

AU - Barucci, Valentina

AU - Fröberg, Ralf

AU - Şahin, Mesut

PY - 2014/6

Y1 - 2014/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84892854479

UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=performanshacettepe&SrcAuth=WosAPI&KeyUT=WOS:000331428800010&DestLinkType=FullRecord&DestApp=WOS_CPL

U2 - 10.1016/j.jpaa.2013.11.007

DO - 10.1016/j.jpaa.2013.11.007

M3 - Article

AN - SCOPUS:84892854479

SN - 0022-4049

VL - 218

SP - 1107

EP - 1116

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 6

ER -

On free resolutions of some semigroup rings

Abstract

Access to Document

Other files and links

Fingerprint

Cite this