The Cohen-Macaulay property of affine semigroup rings in dimension 2
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DOI: 10.1080/00927872.2018.1546392
Abstract: Abstract Consider the subring of , where k is a field and x, y indeterminates over k. We calculate the Hilbert polynomial of . The multiplicity of this ideal provides part of a criterion for… read more here.
Keywords: affine semigroup; cohen macaulay; macaulay; property affine ... See more keywords
On Some Properties for Cofiniteness of Submonoids and Ideals of an Affine Semigroup
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DOI: 10.3390/axioms13070488
Abstract: Let S and C be affine semigroups in Nd such that S⊆C. We provide a characterization for the set C∖S to be finite, together with a procedure and computational tools to check whether such a… read more here.
Keywords: semigroup; ideals affine; properties cofiniteness; cofiniteness submonoids ... See more keywords