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課程名稱 |
可除環之有理等式專題二
Topics on division rings satisfying a rational identity (II)(Ⅱ) |
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開課學期 |
107-2 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
李秋坤 |
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課號 |
MATH5090 |
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課程識別碼 |
221 U8340 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期三6,7,8(13:20~16:20) |
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上課地點 |
天數526 |
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備註 |
總人數上限：12人 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
1. Amitsur, S. A. Rational identities and applications to algebra and geometry. J. Algebra 3 1966 304–359.
2. Bergman, George Rational relations and rational identities in division rings. II. J. Algebra 43 (1976), no. 1, 267–297.
3. Swain, Gordon A. Generalized rational identities with automorphisms, antiautomorphisms, and derivations. Southeast Asian Bull. Math. 28(2004), no. 4, 703–717.
4. Rosen, Jerry D. Generalized rational identities and rings with involution. J. Algebra 89 (1984), no. 2, 416–436. |
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課程目標 |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
1. Cohn, Paul Moritz Skew field constructions. London Mathematical Society Lecture Note Series, No. 27. Cambridge University Press, Cambridge-New York-Melbourne, 1977. xii+253 pp.
2. Rowen, Louis Halle Polynomial identities in ring theory.Pure and Applied Mathematics, 84. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. xx+365 pp.
3. Beidar, K. I.; Martindale, W. S., III; Mikhalev, A. V. Rings with generalized identities. Monographs and Textbooks in Pure and Applied Mathematics, 196. Marcel Dekker, Inc., New York, 1996. xiv+522 pp. |
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評量方式
(僅供參考) |
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