Conducive integral domains

AbstractThis article introduces the concept of a conducive domain, that is, an integral domain each of whose overrings, apart from the quotient field, has nonzero conductor. The principal examples of conducive domains are all D + M constructions and all (pseudo-) valuation domains. Several characterizations are obtained, notably that a domain R is conducive if and only if R has a valuation overring with nonzero conductor. It is proved that if R is a conducive domain but not a field, then Spec(R) is pinched at a prime P such that the set of primes within P is linearly ordered. The converse is shown for R a Prüfer domain, in which case P = PRp. Consequences include pullback characterizations of the seminormal (resp., Prüfer) conducive domains. Special attention is paid to the class of conducive G-domains, with attendant interplay between “conducive” and the property of having a maximum overring

Urban world: Mapping the economic power of cities

Until now, a lack of global data at the city level has prevented companies and policymakers from tracking the evolving role of cities in the global economy and positioning their business and policy activities accordingly. To help close this "white space" in our understanding of the global economy, the McKinsey Global Institute (MGI), McKinsey & Company's business and economics research arm, has built on its extensive body of research on the urbanization of China, India, and Latin America to develop the MGI Cityscope, a database of more than 2,000 metropolitan areas around the world that we believe is the largest of its kind. By analyzing demographic, income, and household trends in these cities, the database offers actionable insights on the choices facing companies looking for new markets and policy makers seeking to improve their urban management and the alignment of their diplomatic efforts with their countries' trade interests

Marshall University Music Department Presents the 2014 Birke Fine Arts Festival, Trending Now: Artists and Audiences in the Information Age, Fifth Annual Festival of New Music, Concert Four

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Marshall University Music Department Presents Music from the Age of Invention, The Maelzel Woodwind Quintet, performing on historical instruments from the early 19th century, Wendell Dobbs, flute, Richard Kravchak, oboe, Richard Spece, clarinet, Stephen Lawson, horn, Kay Lawson, bassoon

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