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交换环上全矩阵代数的迹恒等式(Ⅱ)
引用本文:游松发.交换环上全矩阵代数的迹恒等式(Ⅱ)[J].湖北大学学报(自然科学版),1996,18(3):241-244.
作者姓名:游松发
作者单位:湖北大学科研处
摘    要:将交换环上全矩阵代数换位子和Jordan积的迹恒等式推广到标准多项式和对称多项式上,得到了类似的结果,并且研究了交换环上全矩阵代数的几个特殊标准多项式和对称多项式的迹恒等式。

关 键 词:标准多项式  交换环  多项式环  矩阵代数  迹恒等式

TRACE IDENTITIES OF FULL MATRIX ALGEBARS OVER COMMUTATIVE RINGS
You Songfa.TRACE IDENTITIES OF FULL MATRIX ALGEBARS OVER COMMUTATIVE RINGS[J].Journal of Hubei University(Natural Science Edition),1996,18(3):241-244.
Authors:You Songfa
Abstract:Extend trace identities on commutator and Jordan product of full matrix algebras over commutative rings to standard polynomials and symmetric polynomials, and obtained similar results. More over, we have studed severval special trace identities on standard polynomials and symmetric polynomials of full matrix algebras over commutative rings.
Keywords:Standard polynomial  Symmetric polynomial  Jordan product  Generic matrix  Cayley  Hamilton theorem
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