13 citations · 16 across the 15 of their papers we have counts for
16 papers
Lyubeznik numbers, -modules and modules of generalized fractions
Mordechai Katzman, Rodney Y. Sharp
This paper presents an algorithm for calculation of the Lyubeznik numbers of a local ring which is a homomorphic image of a regular local ring of prime characteristic. The meth…
Graded annihilators and uniformly -compatible ideals
Rodney Y. Sharp
Let be a commutative (Noetherian) local ring of prime characteristic that is -pure. This paper is concerned with comparison of three finite sets of radical ideals of …
Tight closure with respect to a multiplicatively closed subset of an -pure local ring
Rodney Y. Sharp
Let be a (commutative Noetherian) local ring of prime characteristic that is -pure. This paper studies a certain finite set of radical ideals of that is n…
Big tight closure test elements for some non-reduced excellent rings
Rodney Y. Sharp
This paper is concerned with existence of big tight closure test elements for a commutative Noetherian ring of prime characteristic . Let denote the complement i…
Right and Left Modules over the Frobenius Skew Polynomial Ring in the F-Finite Case
Rodney Y. Sharp, Yuji Yoshino
The main purposes of this paper are to establish and exploit the result that, over a complete (Noetherian) local ring of prime characteristic for which the Frobenius homomorphi…
An excellent F-pure ring of prime characteristic has a big tight closure test element
Rodney Y. Sharp
In two recent papers, the author has developed a theory of graded annihilators of left modules over the Frobenius skew polynomial ring over a commutative Noetherian ring of pri…