RT journal article T1 Multiple Convex Body Semigroups and Buchsbaum Rings A1 García García, Juan Ignacio A1 Sánchez -R. -Navarro, A. A1 Vigneron Tenorio, Alberto A2 Matemáticas K1 affine semigroup K1 Buchsbaum ring K1 Cohen–Macaulay ring K1 multiple convex body semigroup AB In this work, using the concept of multiple convex body semigroup, we present new families of Buchsbaum semigroups. We characterize Buchsbaum circle and convex polygonal semigroups and we describe algorithmic methods to check such characterizations. PB Rocky Mountain Mathematics Consortium SN 1939-2346 YR 2020 FD 2020 LK http://hdl.handle.net/10498/37174 UL http://hdl.handle.net/10498/37174 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026