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Infinite Crossed Products

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Infinite Crossed Products

This groundbreaking monograph in advanced algebra addresses crossed products. Author Donald S. Passman notes that 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.
Suitable for advanced undergraduates and graduate students of mathematics, the text examines crossed products and group-graded rings, delta methods and semiprime rings, the symmetric ring of quotients, and prime ideals, both in terms of finite and Noetherian cases. Additional topics include group actions and fixed rings, group actions and Galois theory, Grothendieck groups and induced modules, and zero divisors and idempotents.

Reprint of the Academic Press, Boston, 1989 edition.
mathematics, algebra, infinite groups in math, finite dimensional division algebras, central simple algebras, advanced undergraduate studies, graduate studies, math majors, group actions and fixed rings, group actions, galois theory, grothendieck groups induced modules, zero divisors, idempotents, engaging, realistic, experiments, scientists, science and math, school, career;Advanced algebra; Group Algebras; Rings in Mathematics; Group actions on rings; Noetherian group rings
$24.95
Infinite Crossed Products—
$24.95

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This groundbreaking monograph in advanced algebra addresses crossed products. Author Donald S. Passman notes that 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.
Suitable for advanced undergraduates and graduate students of mathematics, the text examines crossed products and group-graded rings, delta methods and semiprime rings, the symmetric ring of quotients, and prime ideals, both in terms of finite and Noetherian cases. Additional topics include group actions and fixed rings, group actions and Galois theory, Grothendieck groups and induced modules, and zero divisors and idempotents.

Reprint of the Academic Press, Boston, 1989 edition.
mathematics, algebra, infinite groups in math, finite dimensional division algebras, central simple algebras, advanced undergraduate studies, graduate studies, math majors, group actions and fixed rings, group actions, galois theory, grothendieck groups induced modules, zero divisors, idempotents, engaging, realistic, experiments, scientists, science and math, school, career;Advanced algebra; Group Algebras; Rings in Mathematics; Group actions on rings; Noetherian group rings
Infinite Crossed Products | Dover Publications