Related papers: Categorical rings subsume ann-categories
This paper has been withdrawn as the proof of Lemma 4.1 is incomplete.
The purpose of this note is to provide exposition for a proof of the statement in the title. This idea, that arbitrary cohomology classes (of high enough degree) of a finite group $G$ can be trivialized in a finite group extension, has been…
Let $R$ be an associative ring with identity and let $N$ be a nil ideal of $R$. It is shown that units of $R/N$ can be lifted to units in $R$. Under some mild conditions on the ring, a procedure is given to determine those lifted units in a…
This paper has been withdrawn by the authors.
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn.
The paper was withdrawn because of its significant overlap with a paper appeared recently.
We prove that cancellation of reflexive modules over affine rings holds under some restrictions. We construct examples to show that this is false even over polynomial rings without the extra assumptions.
Our published paper contains an incorrect statement of a result due to Artin and Zhang. This corrigendum gives the correct statement of their result and includes a new result that allows us to use their result to prove our main theorem.…
Withdrawn -- a revised version will appear in due course.
This paper has been withdrawn.
This paper has been withdrawn by the author due to an error in the data-analysis.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn, because it is subsumed by the new preprint arXiv:0806.4540 .
We generalize first-species counterpoint theory to arbitrary rings and obtain some new counting and maximization results that enrich the theory of admitted successors, pointing to a structural approach, beyond computations. The…
This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…
This paper has been withdrawn because the author no longer believes the firewall argument is correct.
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper was withdrawn by the authors. The mistake in math.AG/0209223 affects also this paper.
This paper has been withdrawn by the author.