相关论文: Corrigendum to "Model Theory of Fields with Virtua…

This paper is a corrigendum to the article 'On the ideal theorem for number fields`. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.

In this note we point out an error in the above paper and refer to some papers where this error is corrected and a more general theorem is proved.

This paper has been withdrawn due to a crucial theoretical error.

We show that if $G$ is a finitely generated group such that its profinite completion $\widehat{G}$ is ``far from being projective'' (that is the kernel of the universal Frattini cover of $\widehat{G}$ is not a small profinite group), then…

I withdraw my paper from arXiv because there is a technical error in the proof of Theorem 1.1. And because of this error, all the results in the paper are untrue. I am very sorry for this.

This paper has been withdrawn due to a critical error discovered in Theorem 4.21.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This paper has been withdrawn to address an omission. It will be resubmitted in the near future.

This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4

This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which generalizes our previous results about truncated iterative…

This paper has been withdrawn. Theorem 2.1 of the paper is false, as it contradicts a result of Srinvas (Crelle's J. v.381, 1987). The error in our proof is in the construction of a functor in Claim 2. What we construct does not preserve…

This paper has been withdrawn by the authors, due a crucial error in the proof of the main theorem.

This paper has been withdrawn by the author. The statement of the Main Theorem but is wrong in general, there have been provided counterexamples. The main theorem only holds conditionally, under the finiteness statement of theorem 2.8.

This paper has been withdrawn by the author due to a crucial error.

We correct an error in the proof of the Rohlin-Abramov addition formula for free group actions and point out errors in the proof of Yuzvinskii's addition formula. It is not known if the latter are fixable.

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 the authors due to an error.

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

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.