Polynomial Identity Rings
Paperback or Softback 200 pages May 25, 2004
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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 combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity.
- Author:
- Vesselin Drensky
- Publisher:
- Birkhauser
- Publication Date:
- May 25, 2004
- Number of pages:
- 200 pages
- Binding:
- Paperback or Softback
- ISBN-10:
- 3764371269
- ISBN-13:
- 9783764371265