9783764371265 - Polynomial Identity Rings (Advanced Courses in Mathematics - CRM Barcelona) von Drensky, Vesselin (4 Ergebnisse)

Zustand: New. In.

Softcover. 200 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-01665 9783764371265 Sprache: Englisch Gewicht in Gramm: 550.

Zustand: New. Aims to treat polynomial identity rings from both the combinatorial and structural points of view. Series: Advanced Courses in Mathematics - CRM Barcelona. Num Pages: 207 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 254 x 179 x 12. Weight in Grams: 384. . 2004. Paperback. . . . . Books ship from the US and Ireland.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.