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Homological Dimensions of Modules
 
A co-publication of the AMS and CBMS
Homological Dimensions of Modules
Softcover ISBN:  978-0-8218-1662-2
Product Code:  CBMS/12
List Price: $27.00
Individual Price: $21.60
eBook ISBN:  978-1-4704-2372-8
Product Code:  CBMS/12.E
List Price: $25.00
Individual Price: $20.00
Softcover ISBN:  978-0-8218-1662-2
eBook: ISBN:  978-1-4704-2372-8
Product Code:  CBMS/12.B
List Price: $52.00 $39.50
Homological Dimensions of Modules
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Homological Dimensions of Modules
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-1662-2
Product Code:  CBMS/12
List Price: $27.00
Individual Price: $21.60
eBook ISBN:  978-1-4704-2372-8
Product Code:  CBMS/12.E
List Price: $25.00
Individual Price: $20.00
Softcover ISBN:  978-0-8218-1662-2
eBook ISBN:  978-1-4704-2372-8
Product Code:  CBMS/12.B
List Price: $52.00 $39.50
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 121973; 89 pp
    MSC: Primary 13; Secondary 16; 18

    These notes were prepared for a series of ten lectures given at Regional Conference of the Conference Board of the Mathematical Sciences in June 1971. The bulk of the lectures were on projective dimensions of “very large” modules. Although the material in these notes is not new, there are several places where existing work has been simplified. For example, a commutative local nondomain of global dimension 3 is described without reference to analysis, and the dimension of a quotient field of a polynomial ring rather than a regular local ring is calculated. A derivation of Tor, one step at a time without the usual derived functor machinery, is also included.

    Readership

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Introductory ring and category theory
    • Chapter 2. Homological dimensions
    • 3. Appendix: Introductory set theory
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 121973; 89 pp
MSC: Primary 13; Secondary 16; 18

These notes were prepared for a series of ten lectures given at Regional Conference of the Conference Board of the Mathematical Sciences in June 1971. The bulk of the lectures were on projective dimensions of “very large” modules. Although the material in these notes is not new, there are several places where existing work has been simplified. For example, a commutative local nondomain of global dimension 3 is described without reference to analysis, and the dimension of a quotient field of a polynomial ring rather than a regular local ring is calculated. A derivation of Tor, one step at a time without the usual derived functor machinery, is also included.

Readership

  • Chapters
  • Chapter 1. Introductory ring and category theory
  • Chapter 2. Homological dimensions
  • 3. Appendix: Introductory set theory
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.