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

Ö.  Belgin; K.  Yılmaz; T.  Hüseyin; K.  Necmettin; Ö.  Hasan; E.  Mehmet

doi:10.26713/cma.v12i3.1644

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

Authors

Ö. Belgin Departments of Mathematics, Faculty of Arts and Sciences, Gaziantep, Gaziantep University, 27310, Gaziantep, https://orcid.org/0000-0002-0686-2774 (unauthenticated)
K. Yılmaz Departments of Mathematics, Faculty of Arts and Sciences, Gaziantep, Gaziantep University, 27310, Gaziantep, Turkey https://orcid.org/0000-0002-1055-5531 (unauthenticated)
T. Hüseyin Departments of Mathematics, Faculty of Arts and Sciences, Gaziantep, Gaziantep University, 27310, Gaziantep, Turkey https://orcid.org/0000-0001-5318-2985 (unauthenticated)
K. Necmettin Departments of Mathematics, Faculty of Arts and Sciences, Gaziantep, Gaziantep University, 27310, Gaziantep, Turkey https://orcid.org/0000-0002-9499-3810 (unauthenticated)
Ö. Hasan Ministry of National Education, Gaziantep, 27310, Turkey https://orcid.org/0000-0002-0729-676X (unauthenticated)
E. Mehmet Ministry of National Education, Gaziantep, 27310, Turkey https://orcid.org/0000-0001-6698-3001 (unauthenticated)

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.

Downloads

Download data is not yet available.

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.

Downloads

Published

September 30, 2021

Citations

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

License

Creative Commons Licence 4.0

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.

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