@misc{10498/38013,
year = {2025},
month = {8},
url = {http://hdl.handle.net/10498/38013},
abstract = {Let a and b be positive integers such that (Formula presented.) and (Formula presented.) In this work, we will show that (Formula presented.) is a numerical semigroup whose Frobenius number belongs to (Formula presented.) and is a covariety. This fact allows us to present an algorithm which computes all the elements from (Formula presented.) We will prove that (Formula presented.) has multiplicity (Formula presented.) and is a ratio-covariety. As a consequence, we will show an algorithm which calculates all the elements belonging to (Formula presented.) Based on the above results, we will develop an interesting algorithm that calculates all numerical semigroups with a given multiplicity and complexity.},
publisher = {Multidisciplinary Digital Publishing Institute (MDPI)},
keywords = {algorithm},
keywords = {complexity},
keywords = {covariety},
keywords = {Frobenius number},
keywords = {multiplicity},
keywords = {ratio-covariety},
title = {The Set of Numerical Semigroups with Frobenius Number Belonging to a Fixed Interval},
doi = {10.3390/math13152538},
author = {Moreno Frías, María Ángeles and Rosales, Jose Carlos},
}