Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number

José Carlos ROSALES; Manuel B. BRANCO; M. C. FARİA

doi:https://doi.org/10.15672/hujms.897234

Makale detayları

Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number

Yazarlar:

José Carlos ROSALES | Manuel B. BRANCO | M. C. FARİA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 1, pp.218-227

Belge Tipi:

Makale

Yayın Tarihi:

2/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450373

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.897234

Özet:

 

A CCC-semigroup (respectively a DDD-semigroup) is a positioned numerical semigroup SSS such that g(S)=F(S)+m(S)−12g(S)=F(S)+m(S)−12\rm{g}(S)=\frac{\rm{F}(S)+\rm{m}(S)-1}{2} (respectively g(S)=F(S)+m(S)−22g(S)=F(S)+m(S)−22\rm{g}(S)=\frac{\rm{F}(S)+\rm{m}(S)-2}{2}). In this paper we study these semigroups giving formulas for the Frobenius number, pseudo-Frobenius number, and type. Furthermore, we give algorithms for computing the whole set of CCC-semigroups and DDD-semigroups.

Makale detayları

Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number

Yazarlar: José Carlos ROSALES | Manuel B. BRANCO | M. C. FARİA

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 1, pp.218-227

Belge Tipi: Makale

Yayın Tarihi: 2/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450373

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.897234

Sayı

Yazarlar:

José Carlos ROSALES | Manuel B. BRANCO | M. C. FARİA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 1, pp.218-227

Belge Tipi:

Makale

Yayın Tarihi:

2/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450373

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.897234