Related papers: Entanglement For Ideal Quantum Ensembles

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This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

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This paper has been withdrawn due to a crucial theoretical error.

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This paper was withdrawn. It has been superseded by the latest version of hep-th/0107069.

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This paper has been withdrawn since we combine this paper with math.AC/0503685.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The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

This paper has been withdrawn by the author, due an error in claim 1.

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

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This paper has been withdrawn by the author due to errors.

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper has being withdrawn by the authors due to an error in the conclusion.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.