Tsit-Yuen Lam (林節玄)

Job title: 
Professor Emeritus, Professor of the Graduate School
Research area: 
Bio: 

Brief Vitae

Degrees: B.A., University of Hong Kong, 1963.
                 Ph.D., Columbia University, 1967.

Appointed at UC Berkeley: 1968

Retired: 2009

Selected Special Lecture Series

  • UCB-UCSB Algebra Day Lecture: UC Santa Barbara, June 22-23, 2023.
  • Surender K. Jain Lecture Series: Ohio University, Athens, Ohio, May, 2022.
  • Mini-Courses: Southeast University, Nanjing, P.R. China, 2012, 2013, 2016.
  • Special Lectures: King Abdulaziz University, Jeddah, S.A., 2011.
  • Y. C. Wong Lectures: University of Hong Kong, April–May, 2008.

Selected Publications

  1. (with Zhiling Ying): A study of strongly clean elements in rings. In preparation, 2024.
  2. (with D. Khurana) Ring elements of stable range one. J. Algebra xx (2025).  Available from:  Elsevier:https://authors.elsevier.com/sd/article/S0021-8693(24)00202-3.
  3. On some generalizations of abelian rings. J. Alg. Applic. 24 (2025), 2550146 (29 pages).  Available from: DOI:10.1142/S0219498825501464.
  4. (with D. Khurana) A new determinantal formula for three matrices. J. Alg. Applic. 24 (2025), 2550104 (6 pages).  Available from: arXiv:2308.04411, DOI:10.1142/S021949882550104X.
  5.  An introduction to q-central idempotents and q-abelian rings. Comm. Alg. 51 (2023), 1071–1088.  Available from: DOI:10.1080/00927872.2022.2123921.
  6. (with D. Khurana, P. P. Nielsen, and J. Sˇter): Special clean elements in rings. J. Alg. Applic. 19 (2020), 2050208 (27 pages).  Available from: DOI:10.1142/S0219498820502084.
  7. (with P. P. Nielsen) Jacobson pairs and Bott-Duffin decompositions in rings. Rings, Modules and Codes, Proceedings NCRA (A. Leroy, C. Lomp, S. L´opez-Permouth, F. Oggier, eds.), Contemp. Math. 727 (2019), 249–267, Amer. Math. Soc., Provi- dence, RI.
  8. (with D. Khurana): Commutators and anti-commutators of idempotents in rings. Advances in Rings and Modules (S. Lopez, J. K. Park, S. Rizvi, and C. Roman, eds.), Contemp. Math. 715 (2018), 205–224, Amer. Math. Soc., Providence, R.I.  Available from: arXiv:1808.02308.
  9. (with D. Khurana and P. P. Nielsen): An ensemble of idempotent lifting hypotheses. J. Pure & and Applied Algebra 222 (2018), 1489–1511.  Available from: Elsevier:https://doi.org/10.1016/j.jpaa.2017.07.008.

Books

  1. Excursions in Ring Theory. To appear in 2024.
  2. Exercises in Modules and Rings, Problem Books in Mathematics, xviii+412 pp., Springer-Verlag, 2006.
  3. Serre’s Problem on Projective Modules, Monographs in Math., xvii+403 pp., Springer-Verlag, Berlin-Heidelberg-New York, 2006.
  4. Introduction to Quadratic Forms over Fields, Graduate Studies in Math., Vol. 67, xxi+555 pp, Amer. Math. Soc., Providence, R.I., 2005.
  5. Algebra, K-Theory, Groups, and Education on the Occasion of Hyman Bass’s 65th Birthday, T. Y. Lam and A. Magid, eds., Contemp. Math. Vol. 243, Amer. Math. Soc., Providence, R.I., 1999.
  6. Modules with isomorphic multiples, and rings with isomorphic matrix rings — a survey, 71 pages, Monographie No. 35, L’Enseignement Math., Geneva, Switzerland, 1999.
  7. Lectures on Modules and Rings, Graduate Texts in Math., Vol. 189, xxiv+557 pp., Springer-Verlag, Berlin-Heidelberg-New York, 1999.
  8. Exercises in Classical Ring Theory, Problem Books in Mathematics, xiii+287 pages, Springer-Verlag, Berlin-Heidelberg-New York, 1995. (Second Edition, xix+359 pp., 2003).
  9. Recent Advances in Quadratic Forms and Real Algebraic Geometry (W. Jacob, T. Y. Lam and R. Robson, eds.) Contemp. Math., Vol. 144, Amer. Math. Soc., Providence, R.I., 1994.
  10. A First Course in Noncommutative Rings, xv+397 pp., Graduate Texts in Mathe- matics, Vol. 131, Springer-Verlag, Berlin-Heidelberg-New York, 1991. (Second Edi- tion, xv+385 pp., 2001).
  11. Orderings, Valuations, and Quadratic Forms, vii+143 pp., CBMS Regional Conference Series in Mathematics, Vol. 52, American Mathematical Society, Providence, R.I., 1983. (Second Printing: 1996).
  12. Serre’s Conjecture, xv+227 pp., Lecture Notes in Mathematics, Vol. 635, SpringerVerlag, Berlin-Heidelberg-New York, 1978.
  13. The Algebraic Theory of Quadratic Forms, xi+343 pp., Lecture Notes Series in Mathematics, Benjamin/Addison-Wesley, Reading, Mass., 1973. (Reprinted with Revisions: 1980).
Research interests: 

Algebra

Full CV: 

Contact

(510) 642-4378
871 Evans Hall

Supervised Dissertations

Manuel Lionel Reyes; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2010
Alexander James Diesl; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2006
Alexander Sebastian Dugas; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2006
Pace Peterson Nielsen; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2006
Mark Stephen Davis; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2003
Scott Annin; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2003
William Lister Murray; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2001
Gregory Todd Marks; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 2000
Monica Joy Vazirani; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1999
Hyung-Ju Park; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1995
Detlev Walter Hoffmann; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1992
Tara Lynn Smith; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1988
Ka Hin Leung; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1988
Michel Spira; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1987
Jonathan William Harman; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1980
Jonathan Lee Merzel; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1980
Lawrence Victor Berman; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1978
Daniel Byron Shapiro; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1974
Richard Steven Elman; Tsit-Yuen Lam (林節玄)
PhD Thesis (Author field refers to student + advisor), 1972