Publication Lists
1. Picard groups of some rings of invariants, Journal of Algebra 58 (1979), 455–461.
2. Projective modules over some polynomial rings, Journal of Algebra 59 (1979), 65–76.
3. Projective modules over some rings of invariants, Chinese Journal of Mathematics 8 (1980), 77-83.
4. A note on projective modules over Laurent polynomials, Chinese Journal of Math- ematics 9 (1981), 75–79.
5. (with Shi-shyr Roan) A note on cancellation problem, Chinese Journal of Mathe- matics 11 (1983), 319-325.
6. Projective modules over polynomial rings, Chinese Journal of Mathematics 12 (1984), 71-76.
7. p-algebras of an algebraic function field over a perfect field, Journal of Algebra 103 (1986), 320–322.
8. The biregular cancellation problem, Journal of Pure and Applied Algebra 45 (1987), 241–253.
9. The cancellation problem, Journal of Pure and Applied Algebra 47 (1987), 165–171.
10. (with Huah Chu and Eng-Tjioe Tan) The corestriction of p-symbols, Communica- tions in Algebra 16 (1988), 735–742.
11. Metacyclic p-algebras, Proc. Amer. Math. Soc. 104 (1988), 697-698.
12. (with Huah Chu and Eng-Tjioe Tan) P GLn-actions on Fq(x1, . . . , xn−1), Bull. Aus- tralian Math. Soc. 39 (1989), 107–117.
13. Constructions of Brauer-Severi varieties and norm hypersurfaces, Canadian Journal of Math. 42 (1990), 230–238.
14. On Abhyankar-Moh’s epimorphism theorem, American J. Math. 113 (1991), 399–
421.
15. A note on the birational cancellation problem, Journal of Pure and Applied Algebra 71 (1992), 141–154.
16. (with Mowaffaq Hajja) Finite group actions on rational function fields, Journal of Algebra 149 (1992), 139–154.
17. Injective morphisms of affine varieties, Proc. Amer. Math. Soc. 119 (1993), 1–4.
18. (with Mowaffaq Hajja and Jack Ohm) Function fields of conics as invariant subfields, Journal of Algebra 163 (1994), 383–403.
19. (with Mowaffaq Hajja) Three-dimensional purely monomial group actions, Journal of Algebra 170 (1994), 805–860.
20. Central graded division algebras, Journal of Algebra 174 (1995), 959–979.
21. (with Mowaffaq Hajja) Some actions of symmetric groups, Journal of Algebra 177 (1995), 511-535.
22. (with Shou-Jen Hu) Efficient generation of the ring of invariants, Journal of Algebra 180 (1996), 341–363.
23. Group actions of some subgroups of parabolic subgroups, Journal of Algebra 185 (1996), 175–183.
24. (with Mowaffaq Hajja) Twisted actions of symmetric groups, Journal of Algebra 188 (1997), 626–647.
25. Minimal polynomials over cyclotomic fields, American Math. Monthly 104 (1997), 258–260.
26. (with Hamza Ahmad and Mowaffaq Hajja) Negligibility of projective linear auto- morphisms, Journal of Algebra 199 (1998), 344–366.
27. Integral representations of cyclic groups of order P2, Journal of Algebra 207 (1998), 82–126.
28. A note on cyclotomic polynomials, Rocky Mountain Journal of Mathematics 29 (1999), 893–907.
29. (with Li Chiang and Huah Chu) Generation of invariants, Journal of Algebra 221 (1999), 232–241.
30. (with Shisun Ding and Eng-Tjioe Tan) Chiungtze C. Tsen (1898–1940) and Tsen’s theorems, Rocky Mountain Journal of Mathematics 29 (1999), 1237–1269.
31. Cubic fields and radical extensions, Amer. Math. Monthly 107 (2000), 254–256.
32. (with Hamza Ahmad and Mowaffaq Hajja) Rationality of some projective linear actions, Journal of Algebra 228 (2000), 643–658.
33. Almost Cohen-Macaulay modules, Communications in Algebra 29 (2001), 781–787.
34. (with Huah Chu) Rationality of p-group actions, Journal of Algebra 237 (2001), 673–690.
35. (with Huah Chu) Quartic fields and radical extensions, Journal of Symbolic Com- putation 34 (2002), 83–89.
36. Addendurn to the article “Almost Cohen-Macaulay modules”, Communications in Algebra 30 (2002), 1049–1052.
37. Y. C. N. Cheng, T. P. Eagan, T. Chmielewski, J. Folck, M. C. Kang, T. K. Ki- dane, Sh. M. Shvartsman, and R. W. Brown, A degeneracy study in the circulant and bordered-circulant approach to birdcage and planar coils, Magnetic Resonance Materials in Biology, Physics and Medicine, 16 (2003), 103–111.
38. Rationality problem of GL4 group actions, Advances in Mathematics 181 (2004), 321–352.
39. (with Huah Chu and Shou-Jen Hu) Noether’s problem for dihedral 2-groups, Com- mentarii Math. Helvetici 79 (2004), 147–159.
40. A genus formula for some plane curves, l’Enseignement Math. 50 (2004), 139–146.
41. Some group actions on K(x1, x2, x3), Israel Journal of Math. 146 (2005), 77–92.
42. (with Huah Chu and Shou-Jen Hu) A variant of the Reynolds operator, Proc. of Amer. Math. Soc. 133 (2005), 2865–2871.
43. Noether’s problem for dihedral 2-groups II, Pacific Journal of Math. 222 (2005), 301–316.
44. Noether’s problem for metacyclic p-groups, Advances in Math. 203 (2006), 554–567.
45. Fixed fields of triangular matrix groups, Journal of Algebra 302 (2006), 845–847.
46. A central extension theorem for essential dimension, Proc. of Amer. Math. Soc. 136 (2008), 809-813.
47. (with Huah Chu, Shou-Jen Hu and Yuri G. Prokhorov) Noether’s problem for groups of order 32, Journal of Algebra 320 (2008) 3022-3035.
48. (with Huah Chu, Shou-Jen Hu and Jiping Zhang) Groups with essential dimension one, Asian Journal of Mathematics 12 (2008) 177-192.
49. (with Akinari Hoshi) A rationality problem of some Cremona transformation, Proc.
Japan Academy 84, Ser. A (2008) 133-137.
50. (with Bernat Plans) Reduction theorems for Noether’s problem, Proc. of Amer.
Math. Soc. 137 (2009) 1867-1874.
51. Rationality problem for some meta-abelian groups, Journal of Algebra 322 (2009) 1214-1219.
52. Retract rationality and Noether’s problem, International Mathematics Research No- tices 15 (2009) 2760-2788.
53. (with Jianyi Shi, Jiping Zhang, Stephen S. T. Yau and Yung Yu) Some primitive linear groups of prime degree, Journal of Math. Soc. Japan 61 (2009) 1013-1070.
54. Bezout’s theorem and ideals of terminal forms, Expositiones Math. 28 (2010) 265- 268.
55. (with Huah Chu, Shou-Jen Hu and Boris E. Kunyavskii) Noether’s problem and the unramified Brauer group for groups of order 64, International Mathematics Research Notices 12 (2010) 2329-2366.
56. (with Yuri G. Prokhorov) Rationality of three-dimensional quotients by monomial actions, Journal of Algebra 324 (2010) 2166-2197.
57. (with Akinari Hoshi) Twisted symmetric group actions, Pacific Journal Math. 248 (2010) 285-304.
58. Noether’s problem for p-groups having a cyclic subgroup of index p2, Advances in Math. 226 (2011) 218-234.
59. (with Huah Chu and Shou-Jen Hu) A note on projective normality, Proc. of Amer.
Math. Soc. 139 (2011) 1989-1992.
60. Retract rational fields, Journal of Algebra 349 (2012) 22-37.
61. (with Jian Zhou) The rationality problem for finite subgroups of GL4(Q), Journal of Algebra 368 (2012) 53-69.
62. (with Jian Zhou) Noether’s problem for ˆS4 and ˆS5, Pacific Journal Math. 258 (2012) 349-368.
63. (with Ivo Michailov and Jian Zhou) Noether’s problem for groups with a cyclic subgroup of index 4, Transformation Groups 17 (2012) 1037-1058.
64. (with Akinari Hoshi and Boris E. Kunyavskii) Noether’s problem and unramified Brauer groups, to appear in “Asian Journal Math.”.
65. Frobenius groups and retract rationality, to appear in “Advances in Math.”.
66. Bogomolov multipliers and retract rationalityfor semi-direct products, to appear in
“Journal of Algebra”.
Book Chapter
1. (with Shou-Jen Hu) Noether’s problem for some p-groups, in “Cohomological and geometric approaches to rationality problems”, edited by F. Bogomolov and Y.
Tschinkel, Progress in Math. vol. 282 , Birkhauser, Boston, 2010.
Conference Papers
1. Azumaya p-algebras, in “Proceedings KIT Mathematics Workshop: Algebra and Topology, 1986” edited by J. K. Koo and D. Y. Suh, Korea Institute of Technology Mathematics Research Center, 1987, Taejon.
2. Constructions of Brauer-Severi varieties and norm hypersurfaces, in “Proceedings of Algebraic Geometry Seminar, Singapore, 1987” edited by M. Nagata and T. A.
Peng, World Scientific, 1988, Singapore.
3. Metacyclic algebras, in “Proceedings of the First International Symposium on Al- gebraic Structures and Number Theory, Hong Kong, 1988” edited by S. P. Lam and K. P. Shum, World Scientific, 1990, Singapore.
4. Abhyankar-Moh’s epimorphism theorem, in “Proceedings of Commutative Algebra and Combinatorics, Nagoya, 1990” edited by N. Iwahori, H. Matsumura, M. Nagata, H. Narushima, R. Stanley and K. Watanabe, Nagoya University, 1990, Nagoya.
5. Finite group actions on rational function fields, in “Proceedings of the Intermational Conference of Commutative Algebra, Vechta, 1994” edited by W. Bruns, J. Herzog, M. Hochster and U. Vetter, Vechtaer Universit¨atsschriften, Vechta, Germany, 1994.
6. Multiplicative actions of finite groups, in “Proceedings of the Summer School on Commutative Algebra”, Edited by J. Elias, J. M. Giral, R. M. Mir´o-Roig and S.
Zarzuela, Bellaterra, Spain, 1996.
7. Integral representations of some p-groups, in “Algebra and Number Theory, Fes, 1997”, edited by M. Boulagouaz and J. P. Tignol, Marcel Dekker.
8. The rationality problem of finite group actions, in “Proceedings of ICCM, Beijing, 1998”, AMS/IP Studies in Advanced Mathematics vol.20, 2001.
9. Introduction to Noether’s problem for dihedral groups, Algebra Colloquium 11 (2004), 71–78 (The special issue of the “Proceedings of the ICM Satellite Conference on Algebra, 2002, Suzbou”).
10. Introduction to algebraic geometry codes, in “Recent trends in coding theory and its applications”, edited by Wen-ching Li, AMS/IP Studies in Advanced Math. vol.41, 2007.
11. Some rationality problems revisited, in “Proceedings of the 4th International Congress of Chinese Mathematicians, Hangzhou 2007”, edited by Lizhen Ji, Kefeng Liu, Lo Yang and Shing-Tung Yau, Higher Education Press (Beijing) and International Press (Somerville), 2007.
12. (with Huah Chu and Shou-Jen Hu) A rationality problem of certain A4 action, in
“Recent development in algebras and related areas : Proceeding of the conference dedicated to Prof. Zhexian Wan, 2007 ”, Higher Education Press (Beijing) and International Press (Somerville), 2009.
13. Actions of dihedral groups, in “A festschrift in honor of Prof. Man-Keung Siu, 2005”, to Hong Kong University Press, to appear.
Books
1. (Editors, with Ko-Wei Lhi) “Algebra, analysis and geometry: Proc. Symp. in Honor of Chen-Jung Hsu and Kung-Sing Shih”, World Scientific, 1989, Singapore.
2. (Editor) “Algebra and Geometry, National Taiwan University, Taipei, December 26–30, 1995”, International Press, Cambridge, MA, 1998.
3. 微積分入門, 故鄉出版社, 1982。
4. 幾個有名的數學問題, 中央研究院數學所, 1985。
5. 近世代數, 聯經出版社, 1988。
