2026-05-05T21:54:10Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/407262021-06-24T07:41:22Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

The short resolution of a semigroup algebra Ojeda, Ignacio Vigneron Tenorio, Alberto This work generalises the short resolution given by Pisón Casares [‘The short resolution of a lattice ideal’, Proc. Amer. Math. Soc. 131(4) (2003), 1081–1091] to any affine semigroup. We give a characterisation of Apéry sets which provides a simple way to compute Apéry sets of affine semigroups and Frobenius numbers of numerical semigroups. We also exhibit a new characterisation of the Cohen–Macaulay property for simplicial affine semigroups. 2020-04-06T16:14:28Z 2020-04-06T16:14:28Z 2020-04-06T16:14:28Z 2017 info:eu-repo/semantics/article Bulletin of the Australian Mathematical Society, 2017, vol. 96, n. 3. p. 400-411 1755-1633 http://uvadoc.uva.es/handle/10324/40726 10.1017/S0004972717000612 eng https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/short-resolution-of-a-semigroup-algebra/1CF99F51F65D3A8E17E8EF5F205DAC21 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2017 Cambridge University Press Attribution-NonCommercial-NoDerivatives 4.0 Internacional Cambridge University Press