caa a22 4500 388024135 CHVBK 20180307124932.0 cr unu---uuuuu 161130e199810 xx s 000 0 eng 10.1017/S0013091500019866 doi S0013091500019866 pii (NATIONALLICENCE)cambridge-10.1017/S0013091500019866 On Cohen-Macaulay and Gorenstein simplicial affine semigroups [Elektronische Daten] We give arithmetic characterizations which allow us to determine algorithmically when the semigroup ring associated to a simplicial affine semigroup is Cohen-Macaulay and/or Gorenstein. These characterizations are then used to provide information about presentations of this kind of semigroup and, in particular, to obtain bounds for the cardinality of their minimal presentations. Finally, we show that these bounds are reached for semigroups with maximal codimension. Copyright © Edinburgh Mathematical Society 1998 Rosales J. C. Departamento de Álgebra, Universidad de Granada, Granada, Spain, E-mail: jrosales@ugr.es, pedro@goliat.ugr.es García-Sánchez Pedro A. Departamento de Álgebra, Universidad de Granada, Granada, Spain, E-mail: jrosales@ugr.es, pedro@goliat.ugr.es Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/3(1998-10), 517-537 0013-0915 41:3<517 1998 41 PEM https://doi.org/10.1017/S0013091500019866 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0013091500019866 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rosales J. C. Departamento de Álgebra, Universidad de Granada, Granada, Spain, E-mail: jrosales@ugr.es, pedro@goliat.ugr.es NATIONALLICENCE 700 1- García-Sánchez Pedro A. Departamento de Álgebra, Universidad de Granada, Granada, Spain, E-mail: jrosales@ugr.es, pedro@goliat.ugr.es NATIONALLICENCE 773 0- Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/3(1998-10), 517-537 0013-0915 41:3<517 1998 41 PEM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge