1,670 research outputs found

    On Complete Integral Closure of Integral Domains

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    Given an integral domain D with quotient field K, an element x in K is called integral over D if x is a root of a monic polynomial with coefficients in D. The notion of integrality has roots in Dedekind\u27s work with algebraic integers, and was later developed more rigorously by Emmy Noether. Different variations or generalizations of integrality have since been studied, including almost integrality and pseudo-integrality. In this work we give a brief history of integrality and almost integrality before developing the basic theory of these two notions. We will continue the theory of almost integrality further by examining anchor ideals of almost integral elements and by presenting a domain which sheds light on iterations of complete integral closure. Some time is also spent on developing pseudo-integrality and other generalizations

    Guest Artist Recital: Derek Fenstermacher, tuba

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    Carbon Storage and Potential Carbon Sequestration in Depressional Wetlands of the Mid-Atlantic Region

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    With recent concern over climate change, methods for decreasing atmospheric levels of greenhouse gasses such as CO2 have been of particular interest, including carbon sequestration in soils that have depreciated levels of carbon from cultivated agricultural crop production. The Delmarva Peninsula contains many Delmarva Bay landforms, which commonly contain wetlands. Five pairs of Delmarva Bays were selected to examine change in carbon stocks following conversion to agriculture and to assess the potential for carbon sequestration if these soils were to be restored hydrologically and vegetatively. A loss of approximately 50 % of the stored soil carbon was observed following the conversion to agriculture. If these agricultural soils were to be restored, the wetland soils within the Delmarva Bay basin are predicted to sequester a total of approximately 11 kg C m-2 and the upland soils of the rim would be expected to sequester a total of approximately 4 kg C m-2

    Enduring to gain new perspective: A grounded theory study of the experience of perinatal bereavement in black adolescents

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    Black adolescents in the US experience perinatal loss at a higher rate than other races and ethnicities. The experience of eight Black urban adolescents through the first 3 months after perinatal loss was studied using grounded theory. The process of enduring to gain new perspective began with denying and hesitating when surprised by unplanned pregnancy but led to getting ready for this whole new life, followed by shock of suffering through the loss, all that pain for nothing, and mixed emotions going everywhere. Over time, the adolescents began reaching out for support and eventually preserving the memory and maintaining relationship, searching for meaning and asking why, and gaining new perspective on life. Parallels are noted to extant bereavement theory. © 2014 Wiley Periodicals, Inc

    SHOULD PHILOSOPHERS AND EDUCATORS BE SPEAKING TO EACH OTHER?

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/75699/1/j.1741-5446.2002.00339.x.pd
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