Related papers: The M-Principal Graph of a Commutative Ring

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

This paper has been withdrawn by the author due to some error in the result

This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

The paper was withdrawn by the author. It contained various errors.

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author: it was a too preliminary version.

This paper was withdrawn by the authors.

This paper has been withdrawn by the author due to the presented idea is wrong.

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

This paper has been withdrawn.

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

This paper has been withdrawn by the author due a few mistakes in the paper.

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

This paper was withdrawn by the author.

The paper was withdrawn by the authors

This paper has been withdrawn.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

The paper has been withdrawn by the author.