Öz
In this article, we will examine some classes of symmetric numerical semigroups and half of them, which are a class of irreducible numerical semigroups such that U=
Anahtar Kelimeler
Numerical semigroup Gap Perfect Symmetric Irreducible numerical semigroup
Kaynakça
- Ojeda, I., Vigneron-Tenorio, A., Simplicial complexes and minimal free resolution of monomial algebras, Journal of Pure and Applied Algebra, 214, 850–861, 2010.
- Bertin, J., Carbonne, P., Semi-groupes d’entiers et application aux branches, Journal of Algebra, 49, 81–95, 1977.
- Delorme, C., Sous-monoïdes d’intersection complète de N, Annales Scientifiques de l'École Normale Supérieure, 4(9), 145–154, 1976. Watanabe, K. Some examples of one dimensional Gorenstein domains, Nagoya Mathematical Journal, 49, 101–109, 1973.
- Rosales, J.C., Branco, M.B., Irreducible numerical semigroups, Pacific Journal Of Mathematics, 209(1), 131-143, 2003.
- Blanco, V., Rosales, J.C., m-irreducible numerical semigroups, Forum Mathematicum, 25, 1249 – 1261, 2013.
- Süer, M., Yeşil, M., Symmetric and pseudo-symmetric numerical semigroups via young diagrams and their semigroup rings, Journal of the Korean Mathematical Society, 58 (6), 1367- 1383, 2021.
- Barucci, V., Dobbs, D.E., Fontana, M., Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains, Memoirs of the American Mathematical Society 598, 1997.
- Delgado, M., Farrán, J.I., García-Sánchez, P.A., Llena, D., On the weight hierarchy of codes coming from semigroups with two generators, IEEE Transactions on Information Theory, 60, 282–295, 2014.
- Froberg, R., Gotlieb C., Haggkvist, R., On numerical semigroups, Semigroup Forum, 35, 63-68, 1997.
- Rosales J.C., Garcia-Sanchez, P.A., Developments in Mathematics Series Numerical semigroups., Springer New York, 181 pp, 2009. Assi A., Garcia-Sanchez, P.A., RSME Springer Series Numerical semigroups and Applications, Springer New York, 106 pp, 2016.
- Rosales, J.C., Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension, Proceedings of the American Mathematical Society, 129(8), 2197-2203, 2001.
- Rosales J.C., Garcia-Sanhez, P.A., Pseudo-symmetric numerical semigroups with three generators, Journal of Algebra, 291, 46-54, 2005.
- Harold, J.S., Numerical semigroups that are fractions of numerical semigroups of maximal embedding dimension, JP Journal of Algebra Number Theory and App., 17(1), 69-96, 2010.
- Harold, J.S., On isolated gaps in numerical semigroups, Turkish Journal of Mathematics, 46,123 –129, 2022.
- Frias, M.A.M., Rosales, J.C., Perfect numerical semigroups, Turkish Journal of Mathematics, 43, 1742 – 1754, 2019.
- İlhan, S., On the set gaps in numerical semigroups, International Journal of Algebra, 1(3), 145-149, 2007.
Öz
Bu makalede, indirgenemez sayısal yarıgrupların bir sınıfı olan sırasıyla 𝑼 =< 𝒂, 𝒂 + 𝟏 > ve 𝑼 =< 𝒂, 𝒂 + 𝟐 > şeklindeki simetrik sayısal yarıgrupları ve onların yarısı olan sayısal yarıgrupları inceleyeceğiz.
Anahtar Kelimeler
Sayısal yarıgrup Boşluk Mükemmel Simetrik İndirgenemez sayısal yarıgrup
Kaynakça
- Ojeda, I., Vigneron-Tenorio, A., Simplicial complexes and minimal free resolution of monomial algebras, Journal of Pure and Applied Algebra, 214, 850–861, 2010.
- Bertin, J., Carbonne, P., Semi-groupes d’entiers et application aux branches, Journal of Algebra, 49, 81–95, 1977.
- Delorme, C., Sous-monoïdes d’intersection complète de N, Annales Scientifiques de l'École Normale Supérieure, 4(9), 145–154, 1976. Watanabe, K. Some examples of one dimensional Gorenstein domains, Nagoya Mathematical Journal, 49, 101–109, 1973.
- Rosales, J.C., Branco, M.B., Irreducible numerical semigroups, Pacific Journal Of Mathematics, 209(1), 131-143, 2003.
- Blanco, V., Rosales, J.C., m-irreducible numerical semigroups, Forum Mathematicum, 25, 1249 – 1261, 2013.
- Süer, M., Yeşil, M., Symmetric and pseudo-symmetric numerical semigroups via young diagrams and their semigroup rings, Journal of the Korean Mathematical Society, 58 (6), 1367- 1383, 2021.
- Barucci, V., Dobbs, D.E., Fontana, M., Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains, Memoirs of the American Mathematical Society 598, 1997.
- Delgado, M., Farrán, J.I., García-Sánchez, P.A., Llena, D., On the weight hierarchy of codes coming from semigroups with two generators, IEEE Transactions on Information Theory, 60, 282–295, 2014.
- Froberg, R., Gotlieb C., Haggkvist, R., On numerical semigroups, Semigroup Forum, 35, 63-68, 1997.
- Rosales J.C., Garcia-Sanchez, P.A., Developments in Mathematics Series Numerical semigroups., Springer New York, 181 pp, 2009. Assi A., Garcia-Sanchez, P.A., RSME Springer Series Numerical semigroups and Applications, Springer New York, 106 pp, 2016.
- Rosales, J.C., Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension, Proceedings of the American Mathematical Society, 129(8), 2197-2203, 2001.
- Rosales J.C., Garcia-Sanhez, P.A., Pseudo-symmetric numerical semigroups with three generators, Journal of Algebra, 291, 46-54, 2005.
- Harold, J.S., Numerical semigroups that are fractions of numerical semigroups of maximal embedding dimension, JP Journal of Algebra Number Theory and App., 17(1), 69-96, 2010.
- Harold, J.S., On isolated gaps in numerical semigroups, Turkish Journal of Mathematics, 46,123 –129, 2022.
- Frias, M.A.M., Rosales, J.C., Perfect numerical semigroups, Turkish Journal of Mathematics, 43, 1742 – 1754, 2019.
- İlhan, S., On the set gaps in numerical semigroups, International Journal of Algebra, 1(3), 145-149, 2007.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Aralık 2023 |
| Gönderilme Tarihi | 4 Ocak 2023 |
| Kabul Tarihi | 6 Temmuz 2023 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 13 Sayı: 1&2 |
