2 citations · 3 across the 11 of their papers we have counts for
Showing 2003Show all
2 papers · 1 filter
math.AC2003★ 2 cited
The Structure of F-Pure Rings
Ian M. Aberbach, Florian Enescu
For a reduced F-finite 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 structur…
math.AC2003
The vanishing of Tor_1^R(R^+,k) implies that R is regular
Ian M. Aberbach
Let (R,m,k) be an excellent local ring of positive prime characteristic. We show that if Tor_1^R(R^+,k) = 0 then R is regular. This improves a result of Schoutens, in which the add…