TY - GEN AU - García García, Juan Ignacio AU - Moreno Frías, María Ángeles AU - Vigneron Tenorio, Alberto A4 - Matemáticas PY - 2017 SN - 0219-4988 UR - http://hdl.handle.net/10498/35365 AB - This work introduces a new kind of semigroup of Np called proportionally modular affine semigroup. These semigroups are defined by modular Diophantine inequalities and they are a generalization of proportionally modular numerical semigroups. We give... LA - eng PB - World Scientific KW - Affine semigroup KW - Buchsbaum ring KW - Cohen–Macaulay ring KW - Frobenius vector KW - Gorenstein ring KW - modular Diophantine inequalities KW - numerical monoid KW - numerical semigroup TI - Proportionally modular affine semigroups DO - 10.1142/S0219498818500172 ER -