Dr. Yang Zhang

Department of Mathematics

University of Manitoba, Canada

Associate Professor



2004 Ph.D., in applied mathematics (computer algebra), Univ. of Western Ontario, Canada

Publications (Selected)

  1. Huang, L., Wang, Q. and Zhang, Y.: The Moore-Penrose Inverses of Matrices over Quaternion Polynomial Rings, Linear Algebra and its Application, submitted, May 2014.
  2. Zhang, Y. and Zhao, X.: A Signature-Based Algorithm for Computing Grobner-Shirshov Bases in Skew Solvable Polynomial Rings, Central European Journal of Mathematics, submitted, April, 2014.
  3. Tang X. and Zhang Y.: Post-Lie algebra structures on solvable Lie algebra t(2;C), Linear Algebra and its Application, revised.
  4. Zhang, Y. and Zhao, X.: Gelfand-Kirillov Dimensions of Modules over Di_erential Di_erence Algebras, Algebra Colloquium, accepted, May 22, 2014.
  5. Zhang, Y. and Zhao, X.: Gelfand-Kirillov dimension of differential difference algebras, (London Math Soc.) LMS Journal of Computation and Mathematics, to appear.
  6. Huang, L., Shivakumar, P. N. and Zhang, Y.: Solving quadratic quaternion equations via Maple, Canadian Applied Mathematics Quarterly, to appear.
  7. Tang X., Zhang Y. and Qiong Sun. (2014). Rota-Baxter operators on 4-dimensional complex simple associative algebra, Applied Math and Computation, 229, 173 -186.
  8. Wang, W., Zhang, X. and Zhang, Y. (2014). Algorithms for finding the roots of some quadratic octonion equations, Communications in Algebra, 42:3267 - 3282, 2014.
  9. Zhang, Y. and Wang R. (2013) The exact solute of a system of quaternion matrix equations involving _-Hermicity, Applied Math and Computation 222, 201-209.
  10. Shivakumar, P. and Zhang, Y. (2013). On series solution of y00 +_(x)y = 0 and applications, Advances in Difference Equations 2013:47 (Springer).
  11. Shivakumar, P. N., Wu, Y. and Zhang, Y. (2011). Shape of Dum, a constructive approach. WSEAS Transactions on Mathematics, vol. 10(1), 22 - 31.
  12. Zhang, Y. (2010). Rings of the Morita contexts and semi-hereditary maximal V-orders. Communications in Algebra, vol. 38(1), 373 - 381.
  13. Churchill, R. and Zhang, Y. (2009). Irreducibility criteria for skew polynomials, Journal of Algebra, vol. 322(11), 3797 - 3822.