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Polynomial Identity Rings
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Polynomial Identity Rings

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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 commuta ...more
Paperback, 200 pages
Published May 25th 2004 by Birkhauser
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