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    Infinite Crossed Products

    ISBN-10: 0486497402
    ISBN-13: 9780486497402
    Author(s): Donald S. Passman
    Description: This groundbreaking monograph in advanced algebra addresses crossed products, which involve group and ring theory. According to the author's Preface,crossed products have advanced from their first occurrence in finite dimensional division algebras  More...
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    List Price: $33.75
    Publisher: Dover Publications, Incorporated
    Binding: Paperback
    Pages: 480
    Size: 6.00" wide x 8.75" long x 1.00" tall
    Weight: 1.298
    Language: English

    This groundbreaking monograph in advanced algebra addresses crossed products, which involve group and ring theory. According to the author's Preface,crossed products have advanced from their first occurrence in finite dimensional division algebras and central simple algebras to a closer relationship with the study of infinite group algebras, group-graded rings, and the Galois theory of noncommutative rings. 1989 edition.

    Don Passman is a cum laude graduate of Harvard Law School and lives in Los Angeles, California.

    Preface
    Crossed Products and Group-Graded Rings
    Crossed Products
    Group-Graded Pangs and Duality
    Induced Modules
    Maschke's Theorem
    Delta Methods and Semiprime Rings
    Delta Methods
    Coset Calculus
    Minimal Forms
    Sufficient Conditions
    Polynomial Identities
    The Symmetric Ring of Quotients
    The Martindale Ring of Quotients
    Separated Groups
    X-Inner Automorphisms
    Free Rings
    Prime Ideals - The Finite Case
    G-Prime Coefficients
    Prime Coefficients
    Finite Groups and Incomparability
    Primeness and Sylow Subgroups
    Semiprimeness and Sylow Subgroups
    Prime Ideals - The Noetherian Case
    Orbitally Sound Groups
    Polycyclic Group Algebras
    Polycyclic Crossed Products
    Jacobson Rings
    P. I. Algebras
    Group Actions and Fixed Rings
    Fixed Points and Traces
    Integrality
    Finiteness Conditions
    Rings With No Nilpotent Elements
    Prime Ideals and Fixed Rings
    Group Actions and Galois Theory
    Traces and Truncation
    The Galois Correspondence
    Almost Normal Subgroups
    Free Rings and Subrings
    Grothendieck Groups and Induced Modules
    Grothendieck Groups
    Graded Rings
    Group Extensions
    The Induction Theorem
    Zero Divisors and Idempotents
    Zero Divisors and Goldie Rank
    The Zalesskii-Neroslavskii Example
    Almost Injective Modules
    Stably Free Modules
    References
    Index

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