科研之友
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摘要
It is well known that nice conditions on the canonical module of a local ring have a strong impact in the study of strong F-regularity and F-purity. In this note, we prove that if (R, m) is an equidimensional and S-2 local ring that admits a canonical ideal I congruent to omega(R) such that R/I is F-pure, then R is F-pure. This greatly generalizes one of the main theorems in [2]. We also provide examples to show that not all Cohen-Macaulay F-pure local rings satisfy the above property.
- 出版日期2014-7
