Related papers: Categorical rings subsume ann-categories

This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2073.

In this paper, we have studied the axiomatics of {\it Ann-categories} and {\it categorical rings.} These are the categories with distributivity constraints whose axiomatics are similar with those of ring structures. The main result we have…

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

In this paper, we have studied the axiomatics of {\it Ann-categories} and {\it categorical rings.} These are the categories with distributivity constraints whose axiomatics are similar with those of ring structures. The main result we have…

There are different categorizations of the definition of a {\it ring} such as {\it Ann-category} (see N. T. Quang [6]), {\it ring category} (see M. Kapranov and V.Voevodsky [2]),... The main result of this paper is to prove that every axiom…

This paper has been withdrawn by the author, since the result was already known.

The paper has been withdrawn, since there is a mistake in Proposition 5.2. The result on the telescope conjecture for semihereditary rings is correct, but the characterization of the smashing subcategories of the derived category of…

This paper has been withdrawn by the author due to a crucial argument error at p.10.

This submission has been withdrawn at the request of the author.

This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.

We prove the Categorified Wrapping Number Conjecture for large classes of annular links, including alternating annular links and tangle closures exhibiting plumbed link phenomena. We do so by characterizing when a resolution is sufficient…

The notion of Ann-categories is a categorification of the ring structure. Regular Ann-categories were classified by Shukla algebraic cohomology. In this article, we state and prove the precise theorem on classification for the general case…

An elementary gap in the proof of corollary 2.2 was found, the claim in the first version of the paper is thus retracted.

This paper is wrong and is therefore withdrawn.

This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2080.

The paper is withdrawn by the author. Parts of the contents are expanded into separate papers; hep-th/0308015 LOCALIZED TACHYON MASS AND A G-THEOREM ANALOGUE, hep-th/0308028 COMMENTS ON THE FATE OF UNSTABLE ORBIFOLDS, hep-th/0308029 CHIRAL…

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

This paper has been withdrawn by the authors

Paper withdrawn due to conceptual mistakes. A corrected version will soon be available at the gr-qc archive.