| 書(shū)目名稱(chēng) | Polynomial Identity Rings | | 編輯 | Vesselin Drensky,Edward Formanek | | 視頻video | http://file.papertrans.cn/752/751345/751345.mp4 | | 概述 | 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 | | 叢書(shū)名稱(chēng) | Advanced Courses in Mathematics - CRM Barcelona | | 圖書(shū)封面 |  | | 描述 | .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.. | | 出版日期 | Book 2004 | | 關(guān)鍵詞 | Combinatorics; Commutative Algebras; Finite Dimensional Algebras; Polynomial Identity Algebras; Polynomi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-7934-7 | | isbn_softcover | 978-3-7643-7126-5 | | isbn_ebook | 978-3-0348-7934-7Series ISSN 2297-0304 Series E-ISSN 2297-0312 | | issn_series | 2297-0304 | | copyright | Springer Basel AG 2004 |
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