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arXiv · 1110.3175

On A Certain Krull Symmetry Of a Noetherian Ring

C. L. Wangneo
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Abstract

In this note we show that if a noetherian ring R is left and right Krull-homogenous and if: Λ={P\textexclamdown ε spec.R/ |R/P\textexclamdown|_r =|R|_r} and v ={Qj ε spec.R| |R/Qj|l=|R|l} and P =\cap P\textexclamdownε ΛP\textexclamdown and Q = \cap QjεVQj then the following hold true; (1) Pn =0, for some integer n\geq1 (2) Λ=v

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C. L. Wangneo. 2011-12-06. On A Certain Krull Symmetry Of a Noetherian Ring. https://arxiv.org/abs/1110.3175

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