Related papers: "A combinatorial universal $\star$-product" is inc…

In this note we show that the only result of [Rocky Mountain J. Math. 54 (2024), no. 4, 995--1004] is nothing more than a misformulated version of an exercise from classical texts, presented with a flawed proof. To place the matter on…

This paper has been withdrawn due to an error in the proof of the main theorem.

Sorry, There are some mistakes in proofs. I want to reconsider full paper again

The purpose of this paper was to give an algebraic analog of Poincare duality. But there is a mistake in the proof of the main theorem. It will be corrected as soon as possible.

The original paper, as published in Nuclear Physics B in 1988, had a few factor-of-two errors. Some people got confused by those errors. The purpose of these errata is to make things clear. The revised version of the complete article is…

A formulation of anomalies in terms of star products is suggested which promises insight from an alternative and unifying point of view.

This paper has been withdrawn by the auther due to an error

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

The methods used to prove the main result must be incorrect, as they can be used to arrive at a contradiction with previously known results. Thus the paper was withdrawn.

We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - essentially an extension of the Taylor expansion - leads to a…

The paper has been withdrawn due to numerical error.

This paper has been withdrawn by the authors due to a mistake in the proof of Theorem 1.

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

This paper has been withdrawn by the author, due a crucial error in the main idea.

The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

A product difference equation is proved and used for derivation by elementary methods of four combinatorial identities, eight combinatorial identities involving generalized harmonic numbers and eight combinatorial identities involving…

It has been pointed out to the author by David Glickenstein that the proof of the (closely related) Lemmas 1.2 and 3.2 in the title paper is incorrect. The statements of both Lemmas are correct, and the purpose of this note is to give a…

We study the general form of the noncommutative associative product (the star-product) on the Grassman algebra; the star-product is treated as a deformation of the usual "pointwise" product. We show that up to a similarity transformation,…

We withdraw the paper because the results are wrong.