SOME COMPUTATIONS OF NUMERICAL SEMIGROUPS WITH EMBEDDING DIMENSION 3 ON GAP

AZEMI BAJRAMI, Merita and RAMANI-HALILI, Rushadije and Selami, Mirlinda (2023) SOME COMPUTATIONS OF NUMERICAL SEMIGROUPS WITH EMBEDDING DIMENSION 3 ON GAP. Journal of Natural Sciences and Mathematics of UT, 8 (15-16). pp. 375-379. ISSN 2545-4072

Text JNSM 2023-375-379.pdf Download (840kB)

Abstract

This paper aims to present some computations related to numerical semigroups with embedding dimension 3. We study a simple problem regarding the packaging methods of some products connected with some invariants of the numerical semigroup. We tried to define the algorithm that produces simultaneously a presentation of the semigroup by three generators and three relations and show how to use it for visualizing the different ways of buying certain products in the market We use the GAP package to find the exact number of products we want to buy, no one above no one below, where amounts correspond with finite sums of integers in the set {a, b, c} or numerical semigroup 〈a, b, c〉.

Item Type:	Article
Uncontrolled Keywords:	Numerical semigroups; Gap package; Minimal presentations; Diagram.
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	06 Nov 2023 12:36
Last Modified:	06 Nov 2023 12:36
URI:	http://eprints.unite.edu.mk/id/eprint/1564

Actions (login required)

View Item