Description

Book Synopsis
Presents an account of noncommutative Noetherian rings. This book covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory.

Table of Contents
Preliminaries Basic theory: Some Noetherian rings Quotient rings and Goldie's theorem Structure of semiprime Goldie rings Semiprime ideals in Noetherian rings Some Dedekind-like rings Dimensions: Krull dimension Global dimension Gelfand-Kirillov dimension Extensions: The Nullstellensatz Prime ideals in extension rings Stability $K_0$ and extension rings Examples: Polynomial identity rings Enveloping algebras of Lie algebras Rings of differential operators on algebraic varieties References Index of notation Index.

Noncommutative Noetherian Rings

    Product form

    A Hardback by American Mathem American Mathem

    £108.00

    Includes FREE delivery

    RRP £120.00 – you save £12.00 (10%)

    Order before 4pm today for delivery by Wed 21 Oct 2026.

    1 in stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of Noncommutative Noetherian Rings by American Mathem American Mathem

      Book details

      Publisher American Mathematical Society
      Published 2/28/2001 12:00:00 AM
      ISBN-13 9780821821695
      978-0821821695
      ISBN-10 0821821695

      Description

      Book Synopsis
      Presents an account of noncommutative Noetherian rings. This book covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory.

      Table of Contents
      Preliminaries Basic theory: Some Noetherian rings Quotient rings and Goldie's theorem Structure of semiprime Goldie rings Semiprime ideals in Noetherian rings Some Dedekind-like rings Dimensions: Krull dimension Global dimension Gelfand-Kirillov dimension Extensions: The Nullstellensatz Prime ideals in extension rings Stability $K_0$ and extension rings Examples: Polynomial identity rings Enveloping algebras of Lie algebras Rings of differential operators on algebraic varieties References Index of notation Index.

      Recently viewed products

      © 2026 Book Curl

        • American Express
        • Apple Pay
        • Diners Club
        • Discover
        • Google Pay
        • Maestro
        • Mastercard
        • PayPal
        • Shop Pay
        • Union Pay
        • Visa

        Login

        Forgot your password?

        Don't have an account yet?
        Create account