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S.F.You, Y.M.Zheng and D.G.Hu.“Eulerian Graph and Polynomial Identities on Matrix Rings”. Advances in Math. Vol.32,2003, pp.425-428

has been cited by the following article:

• TITLE: An Application of Eulerian Graph to PI on Mn(C)

  AUTHORS: Songfa You, Hongyan Zhao, Yijun Feng, Ming Cao

  KEYWORDS: Eulerian Graph; Eulerian Path; Admissible; Polynomial Identity

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 19, 2012

  ABSTRACT: We obtain a new class of polynomial identities on the ring of n × n matrices over any commutative ring with 1 by using the Swan’s graph theoretic method [1] in the proof of Amitsur-Levitzki theorem. Let be an Eulerian graph with k vertices and d edges. Further let be an integer and assume that . We prore that is an PI on Mn(C). Standard and Chang [2] -Giambruno-Sehgal [3] polynomial identities are the spectial examples of our conclusions.