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欧拉图与Capelli多项式
引用本文:游松发,赵红艳. 欧拉图与Capelli多项式[J]. 湖北大学学报(自然科学版), 2011, 33(4): 444-447,466
作者姓名:游松发  赵红艳
作者单位:湖北大学数学与计算机科学学院,湖北武汉,430062
摘    要:由极其简单的欧拉图得到在PI-理论中起着重要作用的(多重)Capelli多项式,探讨了这些多项式成为矩阵环的恒等式的条件.

关 键 词:欧拉图  欧拉路  矩阵单位替换  Capelli多项式

Eulerian graphs and Capelli polynomials
YOU Songfa , ZHAO Hongyan. Eulerian graphs and Capelli polynomials[J]. Journal of Hubei University(Natural Science Edition), 2011, 33(4): 444-447,466
Authors:YOU Songfa    ZHAO Hongyan
Affiliation:(School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China)
Abstract:In this paper,(miltiple) Capelli polynomials playing a role in PI-theory were obtained,the condition of Capelli identities on the ring of matrices were investigated.
Keywords:Eulerian graph  Eulerian path  substitution of matrix units  Capelli polynomial
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