Chia-Hsin Liu

Professor
Department of Mathematics
National Taiwan Normal University
Taipei, Taiwan, ROC
Email: chliu [at] math [.] ntnu [.] edu [.] tw

Employment

Education

Research Interests

Group algebras, ring theory, Hopf algebras.

Publications ( abstracts )

  1. Group algebras with units satisfying a group identity,
    Proc. Amer. Math. Soc. 127(1999), no. 2, 327--336.
  2. Group algebras with units satisfying a group identity II, (with Donald S. Passman),
    Proc. Amer. Math. Soc. 127 (1999), no. 2, 337--341.
  3. Group identities on units of locally finite algebras and twisted group algebras,
    Communications in Algebra 28 (2000), no. 10, 4783--4802.
  4. Some properties on rings with units satisfying a group identity,
    Journal of Algebra 232 (2000), no. 1, 226--235.
    Errata
  5. On nil subsemigroups of rings with group identities, (with K.I. Beidar and Wen-Fong Ke),
    Communications in Algebra 30 (2002), 347--352.
  6. On units of twisted group algebras,
    Journal of Algebra 250 (2002), no. 1, 271--282.
  7. Group identities and prime rings generated by units, (with Tsiu-Kwen Lee),
    Communications in Algebra 31 (2003), 3305--3309.
  8. Automorphism groups of certain simple 2-(q,3,\lambda) designs constructed from finite fields , (with K.I. Beidar, W.-F. Ke and W.-R. Wu),
    Finite fields and Their Applications 9 (2003), 400--412.
  9. Prime Lie rings of derivations of commutative rings in characteristic 2, (with Donald S. Passman),
    Journal of Algebra 311 (2007), no. 1, 352--364.
  10. Semiprime Lie rings of derivations of commutative rings,
    Contemp. Math., 420, Amer. Math. Soc., 2006, 259--268.
  11. Artinian Hopf algebras are finite dimensional, (with James J. Zhang),
    Proc. Amer. Math. Soc. 135 (2007), no. 6, 1679--1680.
  12. Multiplicative Jordan decomposition in group rings of 3-groups, (with Donald S. Passman),
    Journal of Algebra and its applications 8 (2009), no. 4, 509--519.
  13. Multiplicative Jordan decomposition in group rings of 2,3-groups, (with Donald S. Passman),
    Journal of Algebra and its applications 9 (2010), no. 3, 483--492.
  14. Multiplicative Jordan decomposition in group rings and p-groups with all noncyclic subgroups normal,
    Journal of Algebra 371 (2012), 300--313.
  15. Multiplicative Jordan decomposition in group rings of 3-groups, II, (with Donald S. Passman),
    Communications in Algebra 42 (2014), 2633--2639.
  16. Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3, (with Donald S. Passman),
    Journal of Algebra 388 (2013), 203--218.
  17. Groups with certain normality conditions, (with Donald S. Passman),
    Communications in Algebra 44 (2016), 3308--3323.

Teaching for Spring 2021

Courses Taught

Talks

Awards and Honors

  • National Science Council, Research Award, 1999, Group algebras with units satisfying a group identity.
  • National Science Council, Research Award, 2000, Group identities on units of locally finite algebras and twisted group algebras.

  • Last modified: Mar 9, 2021