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  3. Simple Noetherian Rings
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  • Publisher:
    Cambridge University Press
    Publication date:
    29 October 2009
    28 November 1975
    ISBN:
    9780511565700
    9780521092999
    DOI:
    https://doi.org/10.1017/CBO9780511565700
    Dimensions:
    Weight & Pages:
    Dimensions:
    (216 x 140 mm)
    Weight & Pages:
    0.21kg, 156 Pages
    • Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    Cambridge Tracts in Mathematics (69)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    Cambridge Tracts in Mathematics (69)
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    Book description

    This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix. Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, the Correspondence theorem, the Wedderburn–Artin theorem, the Goldie–Lesieur–Croisot theorem, and many others. Complex mathematical machinery has been eliminated wherever possible or its introduction into the text delayed as long as possible. (Even tensor products are not required until Chapter 3.)

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