Cohen and Story Respond

The Impact 0f Diasporas EDITED BY ROBIN COHEN AND JOANNA STORY WITH NICOLAS MOON

Gorenstein Injective Dimensions and Cohen-Macaulayness

Let (R,m) be a commutative noetherian local ring. In this paper we investigate the existence of a finitely generated R-module of finite Gorenstein dimension when R is Cohen-Macaulay. We study the Gorenstein injective dimension of local cohomology of complexes and next we show that if R is a non-Artinian Cohen-Macaulay ring, which does not have the minimal multiplicity, then R has a finite gener...

A characterization of shellable and sequentially Cohen-Macaulay

We consider a class of hypergraphs called hypercycles and we show that a hypercycle $C_n^{d,alpha}$ is shellable or sequentially the Cohen--Macaulay if and only if $nin{3,5}$. Also, we characterize Cohen--Macaulay hypercycles. These results are hypergraph versions of results proved for cycles in graphs.

Reply to Quintner and Cohen.

I thank Drs. Quintner and Cohen for their interest in my editorial [1] about the study by Albrect et al. [2]. Drs. Quintner and Cohen have raised several concerns about my discussion of the implications of that study, especially of the concept that peripheral nociception by myofascial trigger points initiates central sensitization. They object to the idea that peripheral nerve sensitization is ...

Maharam Algebras and Cohen Reals

We show that the product of any two nonatomic Maharam algebras adds a Cohen real. As a corollary of this and a result of Shelah [14] we obtain that the product of any two nonatomic ccc Souslin forcing notions adds a Cohen real.