Research Article

An Approach to Numerical Semigroups

Volume: 39 Number: 3 March 1, 2010
  • Sedat İlhan
EN

An Approach to Numerical Semigroups

Abstract

In this paper, we give some results on principal ideals of a numerical semigroup S = hs1, s2, . . . , spi for p ≥ 2, p ∈ N. We also describe some relations between Apery subsets and ideals of S.

Keywords

References

  1. Barucci, V., Dobbs, D. E. and Fontana, M. Maximality properties in numerical semigroups and applications to one-dimensional analyticalle irreducible local domains, Memoirs of The Amer. Math. Soc. 598, 13–25, 1997.
  2. Madero-Craven, M. and Herzinger, K. Apery set of numerical semigroups, Communications in Algebra 33, 3831–3838, 2005.
  3. Rosales, J. C. Numerical semigroups with Apery sets of unique expression, Journal of Algebra 226, 479–487, 2000.
  4. Rosales, J. C. and Garcia-Sanchez, P. A. Finitely Generated Commutative Monoids (Nova Science Publishers, New York, 1999).
  5. Rosales, J. C., Garcia-Sanchez, P. A. and Garcia-Garcia, J. I. Irreducible ideals of finitely generated commutative monoids, Journal of Algebra 238, 328–344, 2001.
  6. Rosales, J. C., Garcia-Sanchez, P. A., Garcia-Garcia, J. I. and Jimenez Madrid, J. A. Funda- mental gaps in numerical semigroups, Journal of Pure and Applied Algebra 189, 301–313, 2004.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Sedat İlhan This is me

Publication Date

March 1, 2010

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2010 Volume: 39 Number: 3

APA
İlhan, S. (2010). An Approach to Numerical Semigroups. Hacettepe Journal of Mathematics and Statistics, 39(3), 411-415. https://izlik.org/JA24KR93DW
AMA
1.İlhan S. An Approach to Numerical Semigroups. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):411-415. https://izlik.org/JA24KR93DW
Chicago
İlhan, Sedat. 2010. “An Approach to Numerical Semigroups”. Hacettepe Journal of Mathematics and Statistics 39 (3): 411-15. https://izlik.org/JA24KR93DW.
EndNote
İlhan S (March 1, 2010) An Approach to Numerical Semigroups. Hacettepe Journal of Mathematics and Statistics 39 3 411–415.
IEEE
[1]S. İlhan, “An Approach to Numerical Semigroups”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, pp. 411–415, Mar. 2010, [Online]. Available: https://izlik.org/JA24KR93DW
ISNAD
İlhan, Sedat. “An Approach to Numerical Semigroups”. Hacettepe Journal of Mathematics and Statistics 39/3 (March 1, 2010): 411-415. https://izlik.org/JA24KR93DW.
JAMA
1.İlhan S. An Approach to Numerical Semigroups. Hacettepe Journal of Mathematics and Statistics. 2010;39:411–415.
MLA
İlhan, Sedat. “An Approach to Numerical Semigroups”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, Mar. 2010, pp. 411-5, https://izlik.org/JA24KR93DW.
Vancouver
1.Sedat İlhan. An Approach to Numerical Semigroups. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Mar. 1;39(3):411-5. Available from: https://izlik.org/JA24KR93DW