@misc{10498/37174, year = {2020}, url = {http://hdl.handle.net/10498/37174}, abstract = {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.}, publisher = {Rocky Mountain Mathematics Consortium}, keywords = {affine semigroup}, keywords = {Buchsbaum ring}, keywords = {Cohen–Macaulay ring}, keywords = {multiple convex body semigroup}, title = {Multiple Convex Body Semigroups and Buchsbaum Rings}, doi = {10.1216/jca.2020.12.309}, author = {García García, Juan Ignacio and Sánchez -R. -Navarro, A. and Vigneron Tenorio, Alberto}, }