Affine semigroups and Cohen-Macaulay rings generated by monomials

Trung, Ngô Viêt; Hoa, Lê Tuân

doi:10.1090/S0002-9947-1986-0857437-3

Affine semigroups and Cohen-Macaulay rings generated by monomials
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by Ngô Viêt Trung and Lê Tuân Hoa PDF

Trans. Amer. Math. Soc. 298 (1986), 145-167 Request permission

Corrigendum: Trans. Amer. Math. Soc. 305 (1988), 857.

Abstract:

We give a criterion for an arbitrary ring generated by monomials to be Cohen-Macaulay in terms of certain numerical and topological properties of the additive semigroup generated by the exponents of the monomials. As a consequence, the Cohen-Macaulayness of such a ring is dependent upon the characteristic of the ground field.

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