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This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.

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After some communications (EMAIL EXCHANGE) with the co-authors, this article has been withdrawn (for appropriate reason, please refer to the comments section).

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This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…

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This article has been withdrawn due to an error in a proof of the main result.

The author has removed this paper, following the publication of a more complete version.

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