Publications of Larry Lianyong Xue

For convenience, the title of each paper is linked to a pdf file of the paper

even though it may not be exactly the same as the final version printed in journal.

  1. L. Xue, On Certain Correspondences of Separable Extensions in a Commutator Galois Extension. Proceedings of International Conference on Discrete Mathematics and Applications, March 5-7, 2008, (to appear).

  2. G. Szeto and L. Xue, On Galois Extensions with an Inner Galois Group. Proceedings of International Conference on Algebra, In Celebration of Professor Zhexian Wan's 80th Birthday, August 18-20, 2007, (to appear).

  3. L. Xue, A Lifting Property of Split Exact Sequences of Bimodules over a Separable Ring Extension. JP Journal of Algebra and Number Theory, 10(2) (2008), 247-253.

  4. G. Szeto and L. Xue, On Galois Extensions of a Separable Algebra. International Mathematical Forum, Vol. 3, No. 14 (2008), 677-683.

  5. G. Szeto and L. Xue, On a Composition of Galois Extensions. International Journal of Pure and Appl. Math., Vol. 39, No 4 (2007), 527-534.

  6. G. Szeto and L. Xue, On Galois Algebras Satisfying the Fundamental Theorem. Communications in Algebra, Volume 35, Issue 12 (2007), 3979-3985.

  7. G. Szeto and L. Xue, On Hirata Separable Galois Extensions Satisfying the Fundamental Theorem. Far East Journal of Mathematical Sciences, 26(1) (2007), 127-135.

  8. X. Jiang, G. Szeto, and L. Xue, On Galois Algebras with a Unique Galois Group. International Journal of Mathematical Sciences, Vol. 6, No 2 (2007), 139-147.

  9. G. Szeto and L. Xue, On Galois Extensions Satisfying the Fundamental Theorem. International Mathematical Forum, Vol. 2, No. 36 (2007), 1773-1777.

  10. G. Szeto and L. Xue, On Galois extensions with automorphism group as Galois group. Algebra and its applications, 297-305, Contemp. Math., 419, Amer. Math. Soc., Providence, RI, 2006.

  11. L. Xue, On Characterizations of a commutator Galois extension. JP Journal of Algebra and Number Theory, 6(3) (2006), 597-607.

  12. G. Szeto and L. Xue, The Galois and Automorphism Groups of a Semiconnected Galois Extension. Far East Journal of Mathematical Sciences, Vol. 22, No. 3 (2006), 417-428

  13. G. Szeto and L. Xue, Galois Groups of a Semiconnected Galois Extension. Pragmatic Algebra, 171-180, SAS International Publication, Delhi, 2006.

  14. G. Szeto and L. Xue, Some Notes on the Structure of Galois Algebras. JP Journal of Algebra and Number Theory, 6(1) (2006), 1-9.

  15. G. Azumaya, G. Szeto, and L. Xue, On Algebras Arising from the Elements of a Galois Group for a Galois Algebra. Scientiae Mathematicae Japonicae, 63(2) (2006), 191-203.

  16. L. Xue, On Azumaya Commutator Hopf Galois Extensions. Southeast Asian Bull. Math., 29(2) (2005), 409-413.

  17. G. Szeto and L. Xue, The Galois Algebra with Galois Group which is the Automorphism Group. Journal of Algebra, Vol. 293, No. 1 (2005), 312-318.

  18. G. Szeto and L. Xue, A Generalization of the DeMeyer Theorem for Central Galois Algebras. Advances in ring theory, 209-214, World Sci. Publ., Hackensack, NJ, 2005.

  19. G. Szeto and L. Xue, On Center Hopf Galois Extensions. JP Journal of Algebra and Number Theory, 5(3) (2005), 491-501.

  20. L. Xue, On the Azumaya Invariant Subring of a Galois Extension. International Journal of Mathematical Sciences, Vol. 4, No. 2 (2005), 217-224.

  21. G. Szeto and L. Xue, On Galois Algebras with an Inner Galois Group. East-West Journal of Mathematics, Special Vol. (2004), 101-106.

  22. G. Szeto, and L. Xue, On a Class of Separable Hopf Galois Extensions. International Journal of Mathematical Sciences, Vol. 3, No. 1 (2004), 13-19.

  23. G. Szeto and L. Xue, On Central Galois Algebras of a Galois Algebra. Rings, Modules, Algebras, and Abelian Groups, 493-497, Lecture Notes in Pure and Applied Mathematics, Volume 236, Dekker, New York, 2004.

  24. G. Szeto and L. Xue, On Separable subalgebras of a Hopf Galois Azumaya Extension. JP Journal of Algebra and Number Theory, 4(2) (2004), 311-322.

  25. G. Szeto and L. Xue, On Hopf Galois Hirata Extensions. International Journal of Mathematics and Mathematical Sciences, 64 (2003), 4033-4039.

  26. G. Szeto and L. Xue, The Commutator Hopf Galois Extensions. Algebra and Discrete Mathematics, Vol. 3 (2003), 89-94.

  27. G. Szeto and L. Xue, On a Class of Azumaya Galois Extensions. Advances in Algebra, 477-485, World Sci. Publishing, River Edge, NJ, 2003.

  28. G. Szeto and L. Xue, The DeMeyer-Kanzaki Galois Extension and its Skew Group Ring. Glasnik Matematicki, 38(58) (2003), 263-268.

  29. G. Szeto and L. Xue, On Hopf DeMeyer-Kanzaki Galois Extensions. International Journal of Mathematics and Mathematical Sciences, 2003:26 (2003), 1627-1632.

  30. G. Szeto and L. Xue, The Invariant Subrings of an Azumaya Galois Extension. Southeast Asian Bulletin of Mathematics, 26(4) (2003), 679-684.

  31. G. Szeto and L. Xue, The Boolean Algebra of Galois Algebras. International Journal of Mathematics and Mathematical Sciences, 2003:11 (2003), 673-679.

  32. G. Szeto and L. Xue, The Galois Algebras and the Azumaya Galois Extensions. International Journal of Mathematics and Mathematical Sciences, 31:1 (2002), 37-42.

  33. G. Szeto and L. Xue, The Galois extensions induced by idempotents in a Galois Algebra. International Journal of Mathematics and Mathematical Sciences, 29:7 (2002), 375-380.

  34. G. Szeto and L. Xue, On some correspondence relations of an Azumaya algebra with a finite automorphism group. Far East Journal of Mathematical Sciences, Vol. 7(2) (2002), 223-232.

  35. G. Szeto and L. Xue, On Commutator Galois Extensions. JP Journal of Algebra and Number Theory, Vol. 2(3) (2002), 269-283.

  36. L. Xue, The Invariant Subrings of DeMeyer-Kanzaki Galois Extensions. Portugaliae Mathematica, Vol. 59 Fasc. 1 (2002), 37-45.

  37. G. Szeto and L. Xue, Notes on Galois Algebras. Glasnik Matematicki, Vol. 37, No.1 (2002), 13-19.

  38. G. Szeto and L. Xue, On Azumaya automorphism extensions of rings. Scientiae Mathematicae Japonicae, Vol. 55, No. 3 (2002), 555-561.

  39. G. Szeto and L. Xue, The Boolean algebra and central Galois algebras. International Journal of Mathematics and Mathematical Sciences, Vol. 28, No. 4 (2001), 237-242.

  40. G. Szeto and L. Xue, On Azumaya Algebras with a Finite Automorphism Group. International Journal of Mathematics and Mathematical Sciences, Vol. 26, No. 12 (2001) 753-758.

  41. G. Szeto and L. Xue, On a Generalization of the DeMeyer Theorem for Galois Algebras. Proceeding of The Second International Congress of Chinese Mathematicians, Taipei, Taiwan, December 17-22, 2001.

  42. G. Szeto and L. Xue, The Structure of Galois Algebras. Journal of Algebra, 237(1) (2001), 238-246.

  43. G. Szeto and L. Xue, On Weak Center Galois Extensions of Rings. International Journal of Mathematics and Mathematical Sciences, Vol. 25, No. 7 (2001), 489-495.

  44. G. Szeto and L. Xue, The generalized center Galois extensions of rings. Southeast Asian Bulletin of Mathematics, 25(2) (2001), 313-320.

  45. G. Szeto and L. Xue, On Certain Classes of Galois Extensions of Rings. International Journal of Mathematics and Mathematical Sciences, Vol. 25, No. 5 (2001), 315-321.

  46. G. Szeto and L. Xue, On Splitting Rings for Azumaya Skew Polynomial Rings. Algebra Colloquium, 8(1) (2001), 25-32.

  47. G. Szeto and L. Xue, On the Ikehata theorem for H-separable skew polynomial Rings. Mathematical Journal of Okayama University, Vol. 40 (2000), 27-32.

  48. G. Szeto and L. Xue, On splitting rings for Azumaya skew group rings. Matematicki Vesnik, Vol. 52, No. 3-4, (2000), 63-69.

  49. G. Szeto and L. Xue, The general Ikehata theorem for $H$-separable crossed products. International Journal of Mathematics and Mathematical Sciences, Vol. 23, No. 10 (2000), 657-662.

  50. G. Szeto and L. Xue, Some Correspondences for a Center Galois Extension. Mathematica Japonica, Vol. 52, No. 3 (2000), 463-468.

  51. G. Szeto and L. Xue, On Central Commutator Galois Extensions of Rings. International Journal of Mathematics and Mathematical Sciences, Vol. 24, No. 5 (2000), 289-294.

  52. G. Szeto and L. Xue, On Characterizations of a Center Galois Extension. International Journal of Mathematics and Mathematical Sciences, Vol. 23, No. 11 (2000), 753-758.

  53. G. Szeto and L. Xue, The Fundamental Theorem for Azumaya Automorphism and Galois Extensions of Rings. Far East Journal of Mathematical Sciences, 2(5) (2000), 809-818.

  54. G. Szeto and L. Xue, Skew Group Rings which are Galois. International Journal of Mathematics and Mathematical Sciences, Vol. 23, No. 4 (1999), 279-283.

  55. G. Szeto and L. Xue, Some Correspondences for Galois Skew Group Rings. Portugal Mathematica,} Vol. 57 Fasc. 2 (1999), 161-168.

  56. G. Szeto and L. Xue, On three types of Galois extensions of rings. Southeast Asian Bulletin of Mathematics, 23 (1999) 731-736.

  57. G. Constantine and L. Xue, Planning for specified cost and precision. Journal of Combinatorics, Information and System Sciences, Vol. 23 (1998), 433-440.

  58. G. Constantine and L. Xue, Aliasing in $2^{n-k}$ fractions in the case of a separation of factors. Journal of Statistical Planning and Inference, Vol. 72 (1998), 121-132.

  59. G. Constantine and L. Xue, Aliasing in $2^{n-k}$ fractions in the absence of within group interactions. Journal of Statistical Planning and Inference, Vol. 66 (1998) 345-361.

  60. L. Xue, On the invariance of the filtrations of Cartan type p-algebras of characteristic 2 (in Chinese) (Abstract in English). Journal of Northeastern Mathematics, Vol. 2(2) (1986), 150-164.

  61. L. Xue, On the Cartan Lie algebras H(F) of characteristic 2 (in Chinese) (Abstract in English). Science Bulletin, Vol. 17 (1985), 1356-1357.

Last modified: April 2008