The Minimal Polynomial of Element in the Innerproduct Module Ring

Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (4): 8-13.

The Minimal Polynomial of Element in the Innerproduct Module Ring

四川轻化工学院数学系四川自贡643033

Received:1996-12-23 Online:1999-12-30 Published:2024-09-02
About author:GUO Shi-guang（1955-），male，native of Rongchang，Chongqing，vice professer of Sichuan Institute of Light Industry and Technology，engages in algebra research．

Abstract

Abstract: 讨论形式复体上模环中元的最小多项式,得出　A^{1- δ}A^(rA)_{rA+ δ,1}+ …+ A^rAA^(rA)_{rA+ δ,rA+ δ}=0. 其中A为模环中任一元,而r_A 与A^(rA)_{rA+ δ,k}都可用计算A的方幂、模环上内积和方阵行列式一意求得 .

Key words: , 形式复体, G.S.映射, 内积, 最小多项式, 右特征值, ,

CLC Number:

O153

GUO Shi-guang. The Minimal Polynomial of Element in the Innerproduct Module Ring [J]. Chinese Quarterly Journal of Mathematics, 1999, 14(4): 8-13.

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The Minimal Polynomial of Element in the Innerproduct Module Ring

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