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Rings of Finite Global Dimension

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Dimensions of Ring Theory

Part of the book series: Mathematics and Its Applications ((MAIA,volume 36))

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Abstract

In this chapter we study the connection between the Krull dimension and the homological dimension of a left Noetherian ring. Main results in this chapter will be Theorem 9.3.10. and 9.4.10. However the result of Theorem 9.3.10. may be strenghtened considerably (as we point out in the bibliographical comments at the end) but we did not include these more extended versions here because they require more techniques than what we are willing to introduce here.

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© 1987 D. Reidel Publishing Company, Dordrecht, Holland

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Nǎstǎsescu, C., van Oystaeyen, F. (1987). Rings of Finite Global Dimension. In: Dimensions of Ring Theory. Mathematics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3835-9_10

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  • DOI: https://doi.org/10.1007/978-94-009-3835-9_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8207-5

  • Online ISBN: 978-94-009-3835-9

  • eBook Packages: Springer Book Archive

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