Affine semigroups and Cohen-Macaulay rings generated by monomials
Affine semigroups and Cohen-Macaulay rings generated by monomials
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由单项式生成的仿射半群和 Cohen-Macaulay 环
DOI：
10.1090/s0002-9947-1986-0857437-3
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发表时间：
1986
影响因子：
1.3
通讯作者：
L. T. Hoa
中科院分区：
文献类型：
--
作者：
N. Trung;L. T. Hoa
.本文利用单项式生成的加法半群的某些数值和拓扑性质，给出了由单项式生成的任意环是Cohen-Macaulay环的一个判别准则.因此，这种环的Cohen-Macaulayness依赖于基场的特性。
. 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.