課程資訊
課程名稱
環論專題二
Topics in Ring Theory (Ⅱ) 
開課學期
100-2 
授課對象
理學院  數學研究所  
授課教師
李秋坤 
課號
MATH8110 
課程識別碼
221 D1420 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期三6,7,8(13:20~16:20) 
上課地點
天數304 
備註
限研究生。
總人數上限:20人 
 
課程簡介影片
 
核心能力關聯
核心能力與課程規劃關聯圖
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

研讀最近有關導算恆等式相關之論文. 

課程目標
培養研究生從事環論相關議題之研究. 
課程要求
環論(一)(二)
 
預期每週課後學習時數
 
Office Hours
 
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.


 
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.

 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題