THE SHORT RESOLUTION OF A SEMIGROUP ALGEBRA
2017 ◽
Vol 96
(3)
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pp. 400-411
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Keyword(s):
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.
2018 ◽
Vol 17
(01)
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pp. 1850017
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2005 ◽
Vol 33
(10)
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pp. 3831-3838
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2019 ◽
Vol 19
(05)
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pp. 2050082
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2000 ◽
Vol 130
(5)
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pp. 1017-1028
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Keyword(s):
2013 ◽
Vol 23
(01)
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pp. 111-122
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Keyword(s):
2020 ◽
Vol 26
(4)
◽
pp. 63-67