{"product_id":"9783764371265","title":"Advanced Courses in Mathematics - CRM Barcelona","description":"\u003ch1\u003eAdvanced Courses in Mathematics - CRM Barcelona\u003c\/h1\u003e \u003ch2\u003eDrensky, Vesselin; Formanek, Edward\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eA 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.\u003c\/p\u003e\n\u003cp\u003eThese 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. \u003c\/p\u003e\n\u003cp\u003eThe 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.\u003c\/p\u003e\n\u003cp\u003eThe intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2004-05-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783764371265\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-7934-7\u003c\/p\u003e \u003cp\u003eDimensions: 254cm x178cm\u003c\/p\u003e \u003cp\u003ePages: 200\u003c\/p\u003e ","brand":"Birkhäuser Basel","offers":[{"title":"Default Title","offer_id":45378496987276,"sku":"9783764371265","price":44.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783764371265.jpg?v=1775683119","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783764371265","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}