TY - GEN AU - García García, Juan Ignacio AU - Tapia Ramos, Raquel AU - Vigneron Tenorio, Alberto A4 - Matemáticas PY - 2024 SN - 1827-3491 SN - 0035-5038 UR - http://hdl.handle.net/10498/36030 AB - This work delves into the quotient of an affine semigroup by a positive integer, exploring its intricate properties and broader implications. We unveil an associated tree that serves as a valuable tool for further analysis. Moreover, we successfully... LA - eng PB - Springer-Verlag Italia s.r.l. KW - Affine semigroup KW - Arithmetic variety KW - C-semigroup KW - Frobenius element KW - Irreducibility KW - Quotient by a positive integer KW - Rooted tree TI - On the quotient of affine semigroups by a positive integer DO - 10.1007/S11587-024-00915-Z ER -