Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Vishne, Uzi"'
The algebra of supernatural matrices is a key example in the theory of locally finite central simple algebras, which studied in a previous paper of the authors (\cite{Local}). It is also a stand-alone object admits a rich study and various connection
Externí odkaz:
http://arxiv.org/abs/2311.00053
An associative central simple algebra is a form of matrices, because a maximal \'{e}tale subalgebra acts on the algebra faithfully by left and right multiplication. In an attempt to extract and isolate the full potential of this point of view, we stu
Externí odkaz:
http://arxiv.org/abs/2308.14653
We compute the fundamental group of the Galois cover of a surface of degree $8$, with singularities of degree $4$ whose degeneration is homeomorphic to a sphere. The group is shown to be a metabelian group of order $2^{23}$. The computation amalgamat
Externí odkaz:
http://arxiv.org/abs/2303.05241
Over the years questions have arisen about T-ideals of (noncommutative) polynomials. But when evaluating a noncentral polynomial in subalgebras of matrices, one often has little control in determining the specific evaluations of the polynomial. One w
Externí odkaz:
http://arxiv.org/abs/2209.01494
Publikováno v:
In Journal of Algebra 1 July 2024 649:35-84
Autor:
Garber, David, Vishne, Uzi
We consider expansion and property testing in the language of incidence geometry, covering both simplicial and cubical complexes in any dimension. We develop a general method for passing from an explicit description of the cohomology group, which nee
Externí odkaz:
http://arxiv.org/abs/1809.10588
In a series of papers, we used full quivers as tools in describing PI-varieties of algebras and providing a complete proof of Belov's solution of Specht's problem for affine algebras over an arbitrary Noetherian ring. In this paper, utilizing ideas f
Externí odkaz:
http://arxiv.org/abs/1805.04450
Autor:
Chapman, Adam, Vishne, Uzi
We prove that the alternative Clifford algebra of a nondegenerate ternary quadratic form is an octonion algebra over the ring of polynomials in one variable over the field of definition.
Externí odkaz:
http://arxiv.org/abs/1804.04379
Autor:
NEFTIN, DANNY1 dneftin@technion.ac.il, VISHNE, UZI2 vishne@math.biu.ac.il
Publikováno v:
Albanian Journal of Mathematics. 2023, Vol. 17 Issue 2, p81-92. 12p.
For a maximal separable subfield $K$ of a central simple algebra $A$, we provide a semiring isomorphism between $K$-$K$-bimodules $A$ and $H$-$H$ bisets of $G = \Gal(L/F)$, where $F = \operatorname{Z}(A)$, $L$ is the Galois closure of $K/F$, and $H =
Externí odkaz:
http://arxiv.org/abs/1601.07570