Zobrazeno 1 - 4
of 4
pro vyhledávání: '"D. K. Kudryavtsev"'
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a21faa88b300800ce5afe8c010b754c2
https://doi.org/10.1016/j.jalgebra.2021.04.001
https://doi.org/10.1016/j.jalgebra.2021.04.001
Publikováno v:
Journal of Mathematical Sciences. 249:158-166
A lower and an upper bounds for the length of a direct sum of nonassociative algebras are obtained, and their sharpness is established. Note that while the lower bound for the length of a direct sum in the associative and nonassociative cases turns o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66321ccf3d9cdcb8ec64f6277da30341
https://doi.org/10.1007/s10958-020-04929-4
https://doi.org/10.1007/s10958-020-04929-4
Autor:
D. K. Kudryavtsev, Alexander Guterman
Publikováno v:
Journal of Algebra. 544:483-497
We introduce the notion of length for non-associative finite-dimensional unitary algebras and obtain a sharp upper bound for the lengths of algebras belonging to this class. We also put forward a new method of characteristic sequences based on linear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68c4081359336937ace61710c534ad56
https://doi.org/10.1016/j.jalgebra.2019.10.030
https://doi.org/10.1016/j.jalgebra.2019.10.030
Autor:
D. K. Kudryavtsev, Alexander Guterman
Publikováno v:
Journal of Mathematical Sciences. 224:826-832
The classical Hurwitz theorem claims that there are exactly four normed algebras with division: the real numbers (ℝ), complex numbers (ℂ), quaternions (ℍ), and octonions (𝕆). The length of ℝ as an algebra over itself is zero; the length of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6df4dca2c231ea872c2f0145bf1e54d4
https://doi.org/10.1007/s10958-017-3453-x
https://doi.org/10.1007/s10958-017-3453-x