{ "item_title" : "Polynomial Identity Rings", "item_author" : [" Vesselin Drensky", "Edward Formanek "], "item_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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/76/437/126/3764371269_b.jpg", "price_data" : { "retail_price" : "49.95", "online_price" : "49.95", "our_price" : "49.95", "club_price" : "49.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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