Sedat İLHAN

An Approach to Numerical Semigroups

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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:

Numerical semigroup, Apery set, Ideal, Gap 2000 AMS Classification: 20 M 14,

PDF

___

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.
Madero-Craven, M. and Herzinger, K. Apery set of numerical semigroups, Communications in Algebra 33, 3831–3838, 2005.
Rosales, J. C. Numerical semigroups with Apery sets of unique expression, Journal of Algebra 226, 479–487, 2000.
Rosales, J. C. and Garcia-Sanchez, P. A. Finitely Generated Commutative Monoids (Nova Science Publishers, New York, 1999).
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.
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.