Related papers: Bi-Composability and Generalized Entropy Compositi…

The paper was withdrawn by the author. Further research is needed.

This paper has been withdrawn.

This paper had been withdrawed

This paper has been withdrawn by the author(s). Please refer to quant-ph/0311171.

This paper has been withdrawn by the author, due to a recent article by Kriete and Moorhouse (Linear relations in the Calkin algebra for composition operators, Trans. AMS, 359 (2007), 2915-2944) which includes more general results.

Withdrawn paper because the results are published in math.AT/0308054 and math.AT/0308063.

The paper was withdrawn due to another possible solution to the dataset that is significantly different in nature. This issue will be addressed shortly and clarified with an additional data point.

This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

The paper has been withdrawn

This paper has been withdrawn.

This paper has been withdrawn. The results are now part of math.GR/9804072.

This paper has been withdrawn. The contents of this paper can now be found in 0907.3000, which combines the erstwhile 0901.2981 and 0901.2982 in a somewhat compact form.

This paper has been withdrawn by the author due to a crucial argument error at p.10.

This paper has been withdrawn.

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

The paper was withdrawn because of its significant overlap with a paper appeared recently.

This paper has been withdrawn. A much-improved version can be found at hep-ph/0209176.

This paper has been withdrawn.

This paper has been withdrawn since the results are not satisfied.