Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Alexander Guterman"'
Autor:
Alexander Guterman, Pavel Shteyner
Publikováno v:
Linear Algebra and its Applications. 658:116-150
Publikováno v:
Kybernetika. :691-707
Publikováno v:
Communications in Algebra. 51:1355-1369
Autor:
Alexander Guterman, S. A. Zhilina
Publikováno v:
Communications in Algebra. 50:1092-1105
We suggest a new method which allows us to compute the lengths of (possibly non-unital) standard composition algebras over an arbitrary field F with char F≠2.
Publikováno v:
Linear Algebra and its Applications. 624:27-43
Autor:
Alexander Guterman, D. K. Kudryavtsev
Publikováno v:
Journal of Algebra. 579:428-455
In this paper we study the relations between numerical characteristics of finite dimensional algebras and such classical combinatorial objects as additive chains. We study the behavior of the length function via so-called characteristic sequences of
Publikováno v:
Linear Algebra and its Applications. 618:76-96
Let Q n denote the space of all n × n skew-symmetric matrices over the complex field C and T : Q n → Q n be a map satisfying the condition d χ ′ ( T ( A ) + z T ( B ) ) = d χ ( A + z B ) for all matrices A , B ∈ Q n and all constants z ∈ C
Publikováno v:
Journal of Mathematical Sciences. 255:242-253
Let Qn denote the space of all n × n skew-symmetric matrices over the complex field ℂ. It is proved that for n = 4, there are no linear maps T : Q4 → Q4 satisfying the condition dχ' (T (A)) = dχ(A) for all matrices A ∈ Q4, where χ, χ' ∈
Autor:
Svetlana Zhilina, Alexander Guterman
Publikováno v:
Journal of Mathematical Sciences. 255:254-270
Let 𝕊 denote the algebra of sedenions and let ΓO(𝕊) denote its orthogonality graph. One can observe that every pair of zero divisors in 𝕊 generates a double hexagon in ΓO(𝕊). The set of vertices of a double hexagon can be extended to a
Autor:
Alexander Guterman, Pavel Shteyner
Publikováno v:
Linear Algebra and its Applications. 613:320-346
In the theory of matrix majorizations there are three types of majorizations that play an important role. These are weak, strong and directional majorizations for matrices. In this paper we characterize the linear operators converting each one of the