103
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Numerical Semigroups on Compound Sequences

, &
Pages 3842-3852 | Received 09 Dec 2014, Published online: 19 May 2016

REFERENCES

  • Anderson, D. D., Preisser, J. (2009). Factorization in integral domains without identity. Results Math. 55(3–4):249–264.
  • Baginski, P., Chapman, S. (2014). Arithmetic congruence monoids: a survey. In: Combinatorial and additive number theory—CANT 2011 and 2012. Springer Proc. Math. Stat., vol. 101, New York: Springer, pp. 15–38.
  • Bowles, C., Chapman, S. T., Kaplan, N., Reiser, D. (2006). On delta sets of numerical monoids. J. Algebra Appl. 5(5):695–718.
  • Brauer, A., Shockley, J. E. (1962). On a problem of Frobenius. J. Reine Angew. Math. 211:215–220.
  • Chapman, S. T. García-Sánchez, P. A., Llena, D. (2009). The catenary and tame degree of numerical monoids. Forum Math. 21(1):117–129.
  • Chapman, S. T. García-Sánchez, P. A., Llena, D., Malyshev, A., Steinberg, D. (2012). On the delta set and the Betti elements of a BF-monoid. Arab. J. Math. (Springer) 1(1):53–61.
  • Chapman, S. T. García-Sánchez, P. A., Llena, D., Ponomarenko, V., Rosales, J. C. (2006). The catenary and tame degree in finitely generated commutative cancellative monoids. Manuscripta Math. 120(3):253–264.
  • Chapman, S. T., Puckett, W., Shour, K. (2014). On the omega values of generators of embedding dimension-three numerical monoids generated by an interval. Involve 7(5):657–667.
  • Delgado, M., García-Sanchez, P., Morais, J. (2013). Gap package numericalsgps. http://www.gap-system.org/Packages/numericalsgps.html, June 2013.
  • Fröberg, R., Gottlieb, C., Häggkvist, R. (1987). On numerical semigroups. Semigroup Forum 35(1):63–83.
  • García Sánchez, P. A., Ojeda, I., Rosales, J. C. (2013). Affine semigroups having a unique Betti element. J. Algebra Appl. 12(3):1250177, 11.
  • García Sánchez, P. A., Ojeda, I. Sánchez-R.-Navarro, A. (2013). Factorization invariants in half-factorial affine semigroups. Internat. J. Algebra Comput. 23(1): 111–122.
  • García-Sánchez, P. A., Ojeda, I. (2010). Uniquely presented finitely generated commutative monoids. Pacific J. Math. 248(1):91–105.
  • Geroldinger, A. (1991). On the arithmetic of certain not integrally closNoetherian integral domains. Comm. Algebra 19(2):685–698.
  • Geroldinger, A., Halter-Koch, F. (2006). Non-Unique Factorizations. Pure and Applied Mathematics (Boca Raton), Vol. 278. Boca Raton, FL: Chapman & Hall/CRC. Algebraic, combinatorial and analytic theory.
  • Omidali, M., Rahmati, F. (2009). On the type and the minimal presentation of certain numerical semigroups. Comm. Algebra 37(4):1275–1283.
  • Omidali, M. (2012). The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences. Forum Math. 24(3):627–640.
  • Ong, D. C., Ponomarenko, V. (2008). The Frobenius number of geometric sequences. Integers 8:A33, 3.
  • Rosales, J. C. García-Sánchez, P. A. (2009). Numerical Semigroups. Developments in Mathematics, >Vol. 20. New York: Springer.
  • Selmer, E. S. (1977). On the linear Diophantine problem of Frobenius. J. Reine Angew. Math. 293/294:1–17.
  • Tripathi, A. (2008). On the Frobenius problem for geometric sequences. Integers 8:A43, 5.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.