弱和强F-正则环的平坦映射扩张
Extension of weakly and strongly F-regular rings by flat maps
摘要：
设（R，m）->（S，n）是优良局部环的平坦局部同态.研究了R的弱或强F-正则性传递到S的条件。我们表明，这是足够的，闭纤维S/mS是Gorenstein和F-有限的（如果R和S有一个共同的测试元素），或F-理性（否则）。
英文摘要：
Let (R,m) -> (S,n) be a flat local homomorphism of excellent local rings. We investigate the conditions under which the weak or strong F-regularity of R passes to S. We show that is suffices that the closed fiber S/mS be Gorenstein and either F-finite (if R and S have a common test element), or F-rational (otherwise).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
