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Küçük katlılıklı Arf sayısal yarıgrupların özel boşlukları

Year 2018, Volume: 20 Issue: 2, 437 - 459, 01.12.2018

Meral Süer Burak Yasin Yalçın

https://doi.org/10.25092/baunfbed.485589

Abstract

Bu çalışmada, verilen bir sayısal yarıgrubu kapsayan tüm sayısal yarıgrupların bulunması probleminde kullanılan bir sayısal yarıgrubun özel boşlukları kavramı ile ilgileniyoruz.  Küçük katlılıklı Arf sayısal yarıgruplarının özel boşluklarını bulacağız.  Verilen küçük katlılıklı Arf sayısal yarıgrubu kapsayan tüm Arf sayısal yarıgruplarını bulacağız.

Keywords

Sayısal yarıgrup Arf sayısal yarıgrup özel başluklar

References

  • Arf, C.,Une interpretation algebrique de la suite des orderes de multiplicite d’une branche algebrique, Proc. London Math. Soc., 50(2), 256-287, (1949).
  • Barucci, V., Dobbs, D.E., Fontana, M., Maximality properties in numerical semigroups and applications to one-dimensional analyticalle irreducible local domain, Memoirs of the Amer. Math. Soc., 598, 13-25, (1997).
  • Froberg, R., Gottlieb, C., Haggkvist, R., On numerical semigroups, Semigroups Forum, 35, 63-83, (1987).
  • Garcia-Sanchez, P.A., Heredia, B.A., Karakaş, H.İ., Rosales, J.C., Parametizing Arf numerical semigroups, J. Algebra Appl., 16(11), 31 pages, (2017).
  • Rosales, J.C., Branco, M.B., Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups, J. Pure Appl. Algebra, 171(2-3), 303-314, (2002).
  • Rosales, J.C., Garcia-Sanchez, P.A., Garcia-Garcia, J.I., Jimenez-Madrid. J. A., The over semigroups of a numerical semigroup, Semigroup Forum, 67, 145-158, (2003).
  • Rosales J.C., Garcia-Sanchez P.A., Numerical semigroups. Springer. New York, 181, (2009).

The special gaps of Arf numerical semigroups with small multiplicity

Year 2018, Volume: 20 Issue: 2, 437 - 459, 01.12.2018

Meral Süer Burak Yasin Yalçın

https://doi.org/10.25092/baunfbed.485589

Abstract

In this study, we deal with the concept of special gap of a numerical semigroup which is used to find the set of all numerical semigroups containing a given numerical semigroup.  We will find the specific gaps of Arf numerical semigroups with small multiplicity.  We also find all Arf numerical semigroups containing a given Arf numerical semigroup with small multiplicity. 

Keywords

Numerical semigroups Arf numerical semigroup Special gaps

References

  • Arf, C.,Une interpretation algebrique de la suite des orderes de multiplicite d’une branche algebrique, Proc. London Math. Soc., 50(2), 256-287, (1949).
  • Barucci, V., Dobbs, D.E., Fontana, M., Maximality properties in numerical semigroups and applications to one-dimensional analyticalle irreducible local domain, Memoirs of the Amer. Math. Soc., 598, 13-25, (1997).
  • Froberg, R., Gottlieb, C., Haggkvist, R., On numerical semigroups, Semigroups Forum, 35, 63-83, (1987).
  • Garcia-Sanchez, P.A., Heredia, B.A., Karakaş, H.İ., Rosales, J.C., Parametizing Arf numerical semigroups, J. Algebra Appl., 16(11), 31 pages, (2017).
  • Rosales, J.C., Branco, M.B., Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups, J. Pure Appl. Algebra, 171(2-3), 303-314, (2002).
  • Rosales, J.C., Garcia-Sanchez, P.A., Garcia-Garcia, J.I., Jimenez-Madrid. J. A., The over semigroups of a numerical semigroup, Semigroup Forum, 67, 145-158, (2003).
  • Rosales J.C., Garcia-Sanchez P.A., Numerical semigroups. Springer. New York, 181, (2009).
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Meral Süer 0000-0002-5512-4305

Burak Yasin Yalçın This is me 0000-0003-0581-2836

Publication Date December 1, 2018
Submission Date August 2, 2018
Published in Issue Year 2018 Volume: 20 Issue: 2

Cite

APA Süer, M., & Yalçın, B. Y. (2018). The special gaps of Arf numerical semigroups with small multiplicity. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(2), 437-459. https://doi.org/10.25092/baunfbed.485589
AMA Süer M, Yalçın BY. The special gaps of Arf numerical semigroups with small multiplicity. BAUN Fen. Bil. Enst. Dergisi. December 2018;20(2):437-459. doi:10.25092/baunfbed.485589
Chicago Süer, Meral, and Burak Yasin Yalçın. “The Special Gaps of Arf Numerical Semigroups With Small Multiplicity”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20, no. 2 (December 2018): 437-59. https://doi.org/10.25092/baunfbed.485589.
EndNote Süer M, Yalçın BY (December 1, 2018) The special gaps of Arf numerical semigroups with small multiplicity. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 2 437–459.
IEEE M. Süer and B. Y. Yalçın, “The special gaps of Arf numerical semigroups with small multiplicity”, BAUN Fen. Bil. Enst. Dergisi, vol. 20, no. 2, pp. 437–459, 2018, doi: 10.25092/baunfbed.485589.
ISNAD Süer, Meral - Yalçın, Burak Yasin. “The Special Gaps of Arf Numerical Semigroups With Small Multiplicity”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/2 (December 2018), 437-459. https://doi.org/10.25092/baunfbed.485589.
JAMA Süer M, Yalçın BY. The special gaps of Arf numerical semigroups with small multiplicity. BAUN Fen. Bil. Enst. Dergisi. 2018;20:437–459.
MLA Süer, Meral and Burak Yasin Yalçın. “The Special Gaps of Arf Numerical Semigroups With Small Multiplicity”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 2, 2018, pp. 437-59, doi:10.25092/baunfbed.485589.
Vancouver Süer M, Yalçın BY. The special gaps of Arf numerical semigroups with small multiplicity. BAUN Fen. Bil. Enst. Dergisi. 2018;20(2):437-59.