RT journal article
T1 The minimal system of generators of an affine, plane and normal semigroup
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Affine semigroup
K1 Bézout sequence
K1 normal semigroup
K1 plane semigroup
K1 triangulation
K1 embedding dimension
AB 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 analgorithm which calculates from {(a1,b1), (a2,b2)} ⊆ N2 , the minimal system of generatorsof the affine semigroup C({(a1,b1), (a2,b2)}) ∩N2. This algorithm is based on the study ofproportionally modular Diophantine inequalities carried out in [1]. Also, we present an upperbound for the embedding dimension of this semigroup.
PB Ele-math
SN 1846-579X
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35413
UL http://hdl.handle.net/10498/35413
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026