Related papers: Categorical rings subsume ann-categories

The paper is being withdrawn. A new submission will follow.

By a 2-ring we mean a groupoid with a structure analogous to that of a ring, up to coherent isomorphisms. Two different notions of 2-ring appear in the literature: the notion of {\em Ann-category}, due to Quang, and the notion of {\em…

This paper has been withdrawn by the authors.

This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.

In (Borceux-Janelidze 2001) they prove a Categorical Galois Theorem for ordinary categories, and establish the main result of (Joyal-Tierney 1984), along with the classical Galois theory of Rings, as instances of this more general result.…

This paper has been withdrawn by the author. The conjecture follows from the finiteness of group von Neumann algebras.

This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together.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

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

This paper has been withdrawn by the author.

The paper is withdrawn because the analysis appeared to be incomplete.

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

This paper has been withdrawn by arXiv administrators because of disputed claims of authorship among former collaborators

This paper has been withdrawn, because I have merged it with paper I of the series, math.AG/0312190. The main results of this paper now appear in sections 7-9 of the revised version of math.AG/0312190, with shortened and improved proofs.

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This paper has been withdrawn. The authors realized that the obtained results were not new.

This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

In the present paper, as a generalization of the classical periodic rings, we explore those rings whose elements are additively generated by two (or more) periodic elements by calling them additively periodic. We prove that, in some major…

In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when…