Tsit-Yuen Lam (林節玄)

Job title:

Professor Emeritus, Professor of the Graduate School

Research area:

Algebra

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

(with Zhiling Ying): A study of strongly clean elements in rings. In preparation, 2024.
(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.
On some generalizations of abelian rings. J. Alg. Applic. 24 (2025), 2550146 (29 pages). Available from: DOI:10.1142/S0219498825501464.
(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.
An introduction to q-central idempotents and q-abelian rings. Comm. Alg. 51 (2023), 1071–1088. Available from: DOI:10.1080/00927872.2022.2123921.
(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.
(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.
(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.
(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

Excursions in Ring Theory. To appear in 2024.
Exercises in Modules and Rings, Problem Books in Mathematics, xviii+412 pp., Springer-Verlag, 2006.
Serre’s Problem on Projective Modules, Monographs in Math., xvii+403 pp., Springer-Verlag, Berlin-Heidelberg-New York, 2006.
Introduction to Quadratic Forms over Fields, Graduate Studies in Math., Vol. 67, xxi+555 pp, Amer. Math. Soc., Providence, R.I., 2005.
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.
Modules with isomorphic multiples, and rings with isomorphic matrix rings — a survey, 71 pages, Monographie No. 35, L’Enseignement Math., Geneva, Switzerland, 1999.
Lectures on Modules and Rings, Graduate Texts in Math., Vol. 189, xxiv+557 pp., Springer-Verlag, Berlin-Heidelberg-New York, 1999.
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).
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.
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).
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).
Serre’s Conjecture, xv+227 pp., Lecture Notes in Mathematics, Vol. 635, SpringerVerlag, Berlin-Heidelberg-New York, 1978.
The Algebraic Theory of Quadratic Forms, xi+343 pp., Lecture Notes Series in Mathematics, Benjamin/Addison-Wesley, Reading, Mass., 1973. (Reprinted with Revisions: 1980).