Related papers: On Hadamard matrices at roots of unity
This paper has been withdrawn because it is a duplicate of [math/0609208].
This paper has been withdrawn.
This paper has been withdrawn by the author due to the triviality of the considered coordinate transformations. A consistent treatment, based on the extended physical radial coordinate, is presented in the publications of the author 2000 -…
The invertibility of LCM matrices and their Hadamard powers have been studied a lot over the years by many authors. Bourque and Ligh conjectured in 1992 that the LCM matrix $[S]=[[x_i, x_j]]$ on any GCD closed set $S=\{x_1, x_2, \ldots,…
This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.
This paper has been withdrawn by the author since the comments have been withdrawn.
This paper has been withdrawn since it is superated by the latest version of arXiv:0812.1139 (this is the version which will appear in Rend. Circ. Mat. Palermo; it is a strengthening and elaboration of a paper published in Math. Proc. Camb.…
In this paper we provide concrete constructions of idempotents to represent typical singular matrices over a given ring as a product of idempotents and apply these factorizations for proving our main results. We generalize works due to…
This paper has been withdrawn by the authors since it was discovered that most of its content was already known.
This paper was withdrawn by the authors. The mistake in math.AG/0209223 affects also this paper.
This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.
This paper has been withdrawn while the author verifies the literature.
This paper was withdrawn by the authors.
This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.
This paper has been withdrawn by the author ali pourmohammad.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors.
This paper has been withdrawn. The results are now part of math.GR/9804072.
This paper has been withdrawn by the author because there are some typos in proofs.
Hadamard matrices are square $n\times n$ matrices whose entries are ones and minus ones and whose rows are orthogonal to each other with respect to the standard scalar product in $\Bbb R^n$. Each Hadamard matrix can be transformed to a…