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課程名稱 |
環論專題二
Topics in Ring Theory (Ⅱ) |
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開課學期 |
100-2 |
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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 |
MATH8110 |
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課程識別碼 |
221 D1420 |
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班次 |
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學分 |
3 |
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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304 |
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備註 |
限研究生。
總人數上限：20人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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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 |
研讀最近有關導算恆等式相關之論文. |
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課程目標 |
培養研究生從事環論相關議題之研究. |
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課程要求 |
環論(一)(二)
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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 |
1. C.-L. Chuang and T.-K. Lee,
{it Algebraic skew derivations}, J. Algebra {f 353} (2012), 174--186.
2. C.-L. Chuang, A. Fosner and T.-K. Lee,
{it Jordan $ au$-derivations of locally matrix rings}, Algebr.
Represent. Theory, accepted on November 28, 2011.
3. C.-W. Chen, M.T. Kosan and T.-K. Lee, {it
Decompositions of quotient rings and $m$-power commuting maps},
Comm. Algebra, accepted on November 27, 2011.
4. T.-K. Lee and Y. Zhou, {it On (strong)
lifting of idempotents and semiregular endomorphism rings},
Colloq. Math. 125 (2011), 99--113.
5. T. Kosan, T.-K. Lee and Y. Zhou, {it
Faithful $f$-free algebras}, Comm. Algebra, accepted on September
26, 2011.
6. C.-L. Chuang and T.-K. Lee, {it Lengths of
central linear generalized polynomials}, Linear Algebra Appl.
{f 435} (2011), 3206--3211.
7. C.-L. Chuang and T.-K. Lee, {it Derivations
modulo elementary operators}, J. Algebra {f 338} (2011), 56--70.
8. C.-L. Chuang, T.-K. Lee and C.-K. Liu, {it
Invariant polynomials of Ore extensions by $q$-skew derivations},
Proc. Amer. Math. Soc., accepted on May 20, 2011.
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參考書目 |
(1) Herstein, I. N.: Noncommutative rings. Reprint of the 1968 original.
With an afterword by Lance W. Small. Carus Mathematical Monographs, 15. Mathematical Association of America, Washington, DC, 1994. xii+202 pp. ISBN: 0-88385-015-X 16-02
(2) N. Jacobson, PI-algebras: an introduction, Lecture Notes in Mathematics 441, 1975
(3) Draxl, P. K. Skew fields. London Mathematical Society Lecture Note Series, 81. Cambridge University Press, Cambridge, 1983. ix+182 pp.
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評量方式
(僅供參考) |
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