On A Certain Krull Symmetry Of a Noetherian Ring

Details On A Certain Krull Symmetry Of a Noetherian Ring On A Certain Krull Symmetry Of a Noetherian Ring

2011-10-14

arxiv.org/abs/1110.3175v2

Mathematics

Rings and Algebras

8 pages

Scientific paper

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

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