Parametrizing Arf numerical semigroups

P. A. García-Sánchez; B. A. Heredia; H. Karakaş; J. C. Rosales

doi:10.1142/S0219498817502097

Parametrizing Arf numerical semigroups

P. A. García-Sánchez, B. A. Heredia, H. Karakaş, J. C. Rosales

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

24 Citations (Scopus)

Abstract

We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.

Original language	English
Article number	1750209
Number of pages	31
Journal	JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volume	16
Issue number	11
DOIs	https://doi.org/10.1142/S0219498817502097
Publication status	Published - 2017

Keywords

Arf
Frobenius number
genus
integer partition
Kunz coordinates
multiplicity
Numerical semigroup

Access to Document

10.1142/S0219498817502097

Cite this

@article{50f78081c2bd4f8788c9faf2d0d22ac9,

title = "Parametrizing Arf numerical semigroups",

abstract = "We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.",

keywords = "Arf, Frobenius number, genus, integer partition, Kunz coordinates, multiplicity, Numerical semigroup",

author = "Garc{\'i}a-S{\'a}nchez, {P. A.} and Heredia, {B. A.} and H. Karaka{\c s} and Rosales, {J. C.}",

note = "sem pdf conforme despacho. FEDER - MTM2014-55367- P ; FQM343 ",

year = "2017",

doi = "10.1142/S0219498817502097",

language = "English",

volume = "16",

journal = "JOURNAL OF ALGEBRA AND ITS APPLICATIONS",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "11",

}

TY - JOUR

T1 - Parametrizing Arf numerical semigroups

AU - García-Sánchez, P. A.

AU - Heredia, B. A.

AU - Karakaş, H.

AU - Rosales, J. C.

N1 - sem pdf conforme despacho. FEDER - MTM2014-55367- P ; FQM343

PY - 2017

Y1 - 2017

N2 - We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.

AB - We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.

KW - Arf

KW - Frobenius number

KW - genus

KW - integer partition

KW - Kunz coordinates

KW - multiplicity

KW - Numerical semigroup

UR - http://www.scopus.com/inward/record.url?scp=85007495579&partnerID=8YFLogxK

U2 - 10.1142/S0219498817502097

DO - 10.1142/S0219498817502097

M3 - Article

AN - SCOPUS:85007495579

SN - 0219-4988

VL - 16

JO - JOURNAL OF ALGEBRA AND ITS APPLICATIONS

JF - JOURNAL OF ALGEBRA AND ITS APPLICATIONS

IS - 11

M1 - 1750209

ER -

Parametrizing Arf numerical semigroups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this