Polynomial Identity Rings PDF
by Vesselin Drensky, Edward Formanek
Part of the Advanced Courses in Mathematics - CRM Barcelona series
Description
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.
The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject.
The intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Birkhauser Basel
- Publication Date:06/12/2012
- Category:
- ISBN:9783034879347
Other Formats
- Paperback / softback from £27.85
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Birkhauser Basel
- Publication Date:06/12/2012
- Category:
- ISBN:9783034879347
