48 citations · 56 across the 14 of their papers we have counts for
5 papers · 1 filter
Finiteness of $\bold{\bigcup_e \Ass F^e(M)}$ and its connections to tight closure
Mordechai Katzman
The paper shows that if the set of associated primes of Frobenius powers of ideals or a closely related set of primes is finite then if tight closure does not commute with localisa…
An example of an infinite set of associated primes of a local cohomology module
Mordechai Katzman
Let be a local Noetherian ring, let be any ideal and let be a finitely generated -module. In 1990 Craig Huneke conjectured that the local cohomology mod…
Associated primes of graded components of local cohomology modules
Markus P. Brodmann, Mordechai Katzman, Rodney Y. Sharp
The -th local cohomology module of a finitely generated graded module over a standard positively graded commutative Noetherian ring , with respect to the irrelevant ideal…
Some properties of top graded local cohomology modules
Mordechai Katzman, Rodney Y. Sharp
This first part of the paper describes the support of top graded local cohomology modules. As a corrolary one obtains a simple criteria for the vanishing of these modules and also…
Bipartite graphs whose edge algebras are complete intersections
Mordechai Katzman
Let R be monomial sub-algebra of generated by square free monomials of degree two. This paper addresses the following question: when is R a complete intersection?…