Polynomial Identity Rings

by Vesselin Drensky

A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x, y) = xy - yx and exterior algebras satisfy the polynomial f(x, y, z) = (xy - yx)z - z(xy - yx). "Satisfying a polynomial identity" is often regarded as a generalization of commutativity. These lecture notes treat polynomial identity rings from both the...

• Format: Paperback
• Language: English
• ISBN: 3764371269
• ISBN13: 9783764371265
• Release Date: May 2004
• Publisher: Birkhauser
• Length: 200 Pages
• Weight: 0.83 lbs.
• Dimensions: 0.5" x 7.0" x 10.0"