Combinatoric of syzygies for semigroup algebras.

Briales, Emilio, et al. "Combinatoric of syzygies for semigroup algebras.." Collectanea Mathematica 49.2-3 (1998): 239-256. <http://eudml.org/doc/41250>.

@article{Briales1998,
abstract = {We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The Cohen-Macaulay type is computed from combinatorics. As an application, we compute explicitly the graded minimal resolution of monomial both affine and simplicial projective surfaces.},
author = {Briales, Emilio, Pisón, Pilar, Campillo, Antonio, Marijuán, Carlos},
journal = {Collectanea Mathematica},
keywords = {Algebra homológica; Semigrupos; Ideales; Generadores; Problemas combinatorios; toric varieties; graded minimal resolution; semigroup algebras; simplicial complexes; Tor; Koszul homology; Cohen-Macaulay; Gorenstein; monomial surfaces},
language = {eng},
number = {2-3},
pages = {239-256},
title = {Combinatoric of syzygies for semigroup algebras.},
url = {http://eudml.org/doc/41250},
volume = {49},
year = {1998},
}

TY - JOUR
AU - Briales, Emilio
AU - Pisón, Pilar
AU - Campillo, Antonio
AU - Marijuán, Carlos
TI - Combinatoric of syzygies for semigroup algebras.
JO - Collectanea Mathematica
PY - 1998
VL - 49
IS - 2-3
SP - 239
EP - 256
AB - We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The Cohen-Macaulay type is computed from combinatorics. As an application, we compute explicitly the graded minimal resolution of monomial both affine and simplicial projective surfaces.
LA - eng
KW - Algebra homológica; Semigrupos; Ideales; Generadores; Problemas combinatorios; toric varieties; graded minimal resolution; semigroup algebras; simplicial complexes; Tor; Koszul homology; Cohen-Macaulay; Gorenstein; monomial surfaces
UR - http://eudml.org/doc/41250
ER -