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| On Order Rings of Semi-Primary Rings |
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Citation： |
Xu Yonghua.On Order Rings of Semi-Primary Rings[J].Chinese Annals of Mathematics B,1990,11(4):503~512 |
| Page view： 686
Net amount： 813 |
Authors： |
Xu Yonghua; |
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| Abstract： |
The main results of this paper are stated as follows. Let R be an orderring in the semi-primary ring Q. Suppose that R satisfies the maximal condition for nil right ideals of R, Then we have (i) if an ideal I of R has a finite length as right R-module, then I also ihas a finite length as left R-module; (ii) denote by A(R) the Artinian radical of R, and N the nil radical of R, then A(R) +N /N=A(R/N), if R satisfies the commutative condition on the zero product of prime ideals of R. |
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