C. L. Wangneo
Abstract
For a ring R, let |M|r denote the right Krull dimension of a right R module M if it exists and let |W|l denote the left Krull dimension of a left R module W if it exists, then In this paper we prove our main theorem as stated below ; Main theorem :- Let R be a Noetherian ring . Then, |R|r = |R|l
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For a ring R, let |M|r denote the right Krull dimension of a right R module M if it exists and let |W|l denote the left Krull dimension of a left R module W if it exists, then In this paper we prove our main theorem as stated below ; Main theorem :- Let R be a Noetherian ring . Then, |R|r = |R|l
Key concepts: Krull dimension, Noetherian, Mathematics, Global dimension, Regular local ring, Noetherian ring, Ring (chemistry), Dimension (graph theory)