Time for D in R&D?

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Reciprocal Domains and Cohen-Macaulay d-Complexes in Rd

We extend a reciprocity theorem of Stanley about enumeration of integer points in polyhedral cones when one exchanges strict and weak inequalities. The proof highlights the roles played by Cohen–Macaulayness and canonical modules. The extension raises the issue of whether a Cohen–Macaulay complex of dimension d embedded piecewise-linearly in R is necessarily a d-ball. This is observed to be tru...

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RD-flatness and RD-injectivity

It is proved that every commutative ring whose RD-injective modules are Σ-RD-injective is the product of a pure semi-simple ring and a finite ring. A complete characterization of commutative rings for which each artinian (respectively simple) module is RD-injective, is given. These results can be obtained by using the properties of RD-flat modules and RD-coflat modules which are respectively th...

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Early markers of retinal degeneration in rd/rd mice.

PURPOSE In the rd/rd mouse, the cell death of rod photoreceptors has been correlated to abnormal levels of the cyclic nucleotide cGMP within photoreceptors. Given that cGMP is required for opening of the cationic channels, there is the possibility that a high cGMP concentration would maintain these channels open, at a high energy cost for the retina. METHODS We investigated whether cation cha...

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ژورنال

عنوان ژورنال: Journal of the Royal Society of Medicine

سال: 2008

ISSN: 0141-0768,1758-1095

DOI: 10.1258/jrsm.2008.080116