The Representation of Duplication and Gluing of Almost Symmetric Numerical Semigroup With RF-matrices

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DOI:

https://doi.org/10.26713/cma.v12i3.1644

Keywords:

Almost numerical semigroup, ideals, duplication, gluing, RF-Matrices.

Abstract

In this paper, the duplication and gluing of almost numerical semigroup are given by using RF(Row-Factorization) matrices.

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References

Rosales, J.C., Garcia-Sanchez, P.A., (2009). Numerical Semigroups, Vol 20, Springer Developments in Mathematics, New York.

M.D.Anna and F.Strazzanti. "The duplication of a numerical semigroup” Commutative algebra, 2012.

A. Moscariello, "On The Type of An Almost Gorenstein Monomial Curve”, Journal of Algebra, Vol. 456. Pp. 266-277,2016.

V.Barucci and R Fröberg, "One dimensional Almost Gorenstein Rings” Journal of Algebra, Vol.188.pp.418-442,1997.

J.Herzog and K.Watanabe, "Almost Symmetric Numerical Semigroups”, Semigroup Forum vol.98,pp.589-630, 2019.

Eto, Kazufumi, on Row-Factorization matrices, Journal of Algebra, Number Theory: Advances and applications, Volume 17, no2, 2017.

í‡alışkan, Ayşe, Hemen hemen Gorenstein Tek terimli eğriler, Yüksek Lisans tezi, Balıkesir 2020.

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Published

30-09-2021
CITATION

How to Cite

Belgin, Ö. ., Yılmaz, K. ., Hüseyin, T. ., Necmettin, K. ., Hasan, Ö. ., & Mehmet, E. . (2021). The Representation of Duplication and Gluing of Almost Symmetric Numerical Semigroup With RF-matrices. Communications in Mathematics and Applications, 12(3), 787–794. https://doi.org/10.26713/cma.v12i3.1644

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Research Article