@misc{10498/35413,
year = {2024},
url = {http://hdl.handle.net/10498/35413},
abstract = {If X is a nonempty subset of Qk , the cone generated by X is C(X) = {q1x1 +
· · ·+qnxn | n ∈ N\{0},{q1, . . . ,qn} ⊆ Q+0 and {x1, . . . ,xn} ⊆ X}. In this work we present an
algorithm which calculates from {(a1,b1), (a2,b2)} ⊆ N2 , the minimal system of generators
of the affine semigroup C({(a1,b1), (a2,b2)}) ∩N2. This algorithm is based on the study of
proportionally modular Diophantine inequalities carried out in [1]. Also, we present an upper
bound for the embedding dimension of this semigroup.},
publisher = {Ele-math},
keywords = {Affine semigroup},
keywords = {Bézout sequence},
keywords = {normal semigroup},
keywords = {plane semigroup},
keywords = {triangulation},
keywords = {embedding dimension},
title = {The minimal system of generators of an affine, plane and normal semigroup},
doi = {10.7153/JMI-2024-18-70},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}