Browsing Department of Mathematics (MU) by Author "Enescu, Florian"
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The structure of Fpure rings
Aberbach, Ian M.; Enescu, Florian (200310)For a reduced Ffinite ring R of characteristic p >0 and q=p^e one can write R^{1/q} = R^{a_q} \oplus M_q, where M_q has no free direct summands over R. We investigate the structure of Ffinite, Fpure rings R by studying ... 
Test ideals and flat base change problems in tight closure theory
Aberbach, Ian M.; Enescu, Florian (200210)Test ideals are an important concept in tight closure theory and their behavior via flat base change can be very difficult to understand. Our paper presents results regarding this behavior under flat maps with reasonably ... 
When does the Fsignature exist?
Aberbach, Ian M.; Enescu, Florian (200502)We show that the Fsignature of an Ffinite local ring R of characteristic p > 0 exists when R is either the localization of an Ngraded ring at its irrelevant ideal or QGorenstein on its punctured spectrum. This extends ...