Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Local Cohomology: An Algebraic Introduction with Geometric Applications

- M. Brodmann, R. Sharp
- Mathematics
- 28 March 1998

This book provides a careful and detailed algebraic introduction to Grothendieck’s local cohomology theory, and provides many illustrations of applications of the theory in commutative algebra and in… Expand

Bass numbers of local cohomology modules

Let A be a regular local ring of positive characteristic. This paper is concerned with the local cohomology modules of A itself, but with respect to an arbitrary ideal of A. The results include that… Expand

Steps in Commutative Algebra

- R. Sharp
- Mathematics
- 31 August 1990

This is an introductory account of commutative algebra. The author's intention is to provide a foundation from which the reader can progress to more advanced works in commutative algebra or algebraic… Expand

Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure

- R. Sharp
- Mathematics
- 12 May 2006

This paper is concerned with the tight closure of an ideal [a] in a commutative Noetherian local ring R of prime characteristic P. Several authors, including R. Fedder, K-i. Watanabe, K. E. Smith, N.… Expand

Uniform behaviour of the Frobenius closures of ideals generated by regular sequences

- M. Katzman, R. Sharp
- Mathematics
- 28 January 2005

This paper is concerned with ideals in a commutative Noetherian ring R of prime characteristic. The main purpose is to show that the Frobenius closures of certain ideals of R generated by regular… Expand

MODULES OVER NON-NOETHERIAN DOMAINS (Mathematical Surveys and Monographs 84) By LÁSZLÓ FUCHS and LUIGI SALCE: 613 pp., US$109.00, ISBN 0-8218-1963-1 (American Mathematical Society, Providence, RI,…

- R. Sharp
- Mathematics
- 1 July 2002

A Method for the Study of Artinian Modules, With an Application to Asymptotic Behavior

- R. Sharp
- Mathematics
- 1989

If N is a Noetherian module over the commutative ring R (throughout the paper, R will denote a commutative ring with identity), then the study of N in many contexts can be reduced to the study of a… Expand

Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings

- C. Huneke, M. Katzman, R. Sharp, Yongwei Yao
- Mathematics
- 6 July 2006

Abstract This paper studies Frobenius powers of parameter ideals in a commutative Noetherian local ring R of prime characteristic p. For a given ideal a of R, there is a power Q of p, depending on a… Expand

...

1

2

3

4

5

...