• Homology multipliers and the relation type of parameter ideals 

    Aberbach, Ian M.; Ghezzi, Laura; Ha, Huy Tai (2005-01)
    We study the relation type question, raised by C. Huneke, which asks whether for a complete equidimensional local ring R there exists a uniform bound for the relation type of parameter ideals. Wang gave a positive answer ...
  • The structure of F-pure rings 

    Aberbach, Ian M.; Enescu, Florian (2003-10)
    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 structure of F-finite, F-pure rings R by studying ...
  • When does the F-signature exist? 

    Aberbach, Ian M.; Enescu, Florian (2005-02)
    We show that the F-signature of an F-finite local ring R of characteristic p > 0 exists when R is either the localization of an N-graded ring at its irrelevant ideal or Q-Gorenstein on its punctured spectrum. This extends ...