Box products are often discretely generated

MULTIPLICATION MODULES THAT ARE FINITELY GENERATED

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)leq 1$, multiplication modules are precisely cyclic or isomorphic to an invertible ideal of $R$. Moreover, we give a charac...

Communication with general practitioners after accident and emergency attendance: computer generated letters are often deficient.

OBJECTIVES Accident and emergency departments see large numbers of patients, and computerised administration systems are a useful tool for producing discharge communication. The purpose of this study was to determine the quality of such correspondence. METHODS Retrospective review of 300 discharge letters and case notes. RESULTS 29% of all computer generated discharge information was incomp...

Fréchet Uniform Box Products

The uniform box product was introduced by Scott Williams in 2001, but very little was done with it until the recent (2010 and 2012) [B1], [H1] dissertations of Jocelyn Bell and Jeffrey Hankins. Their results had to do with two questions that Williams posed a decade earlier: whether the uniform box product of compact spaces is normal, and whether it is paracompact. Hankins answered the latter qu...

Are Biosimilars Identical to the Reference Products?

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