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    Dedekind rings

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    Date Issued
    1960
    Author(s)
    Scharenberg, Maryjane
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    Permanent Link
    https://hdl.handle.net/2144/24583
    Abstract
    A Dedekind ring R is defined as an integral domain which has the following three properties A. R is a Noetherian ring. B. Every prime ideal in R is a maximal ideal. C. R is integrally closed in its quotient field P. A Noetherian ring is a commutative ring for which the divisor chain condition is valid. If the divisor chain condition is valid in a ring r then every set of ideals A1 in R such that A1 C AI+1 properly, is a finite set. For Noetherian rings a theory of ideals may be developed. The main results of this theory are listed in the appendix [TRUNCATED]
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    Thesis (M.A.)--Boston University
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    Based on investigation of the BU Libraries' staff, this work is free of known copyright restrictions.
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    • Dissertations and Theses (pre-1964) [13090]


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