Zobrazeno 1 - 10
of 433
pro vyhledávání: '"Kaygorodov P."'
We present calculations of the self-energy correction to the $E1$ transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the $1s$-$2p_{1/2}$ transition for the hydrogen isoelect
Externí odkaz:
http://arxiv.org/abs/2412.01231
We present a comprehensive study of two new Poisson-type algebras. Namely, we are working with $\delta$-Poisson and transposed $\delta$-Poisson algebras. Our research shows that these algebras are related to many interesting identities. In particular
Externí odkaz:
http://arxiv.org/abs/2411.05490
Publikováno v:
Phys. Rev. A, v. 110, p. 062805 (2024)
We calculated QED corrections to the $E1$ transition amplitudes in Ne-like iron and nickel. For the $2p \to 3d$ transitions the dominant effect came from the many-electron mixing, or electronic correlations. For the $2p \to 3s$ transitions the correl
Externí odkaz:
http://arxiv.org/abs/2410.02489
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") (December 6, 2024) cm:14458
This is a survey on the geometric classification of different varieties of algebras (nilpotent, nil-, associative, commutative associative, cyclic associative, Jordan, Kokoris, standard, noncommutative Jordan, commutative power-associative, weakly as
Externí odkaz:
http://arxiv.org/abs/2410.10825
Autor:
Kaygorodov, Ivan, Mashurov, Farukh
We describe mutation elements in free $\mathfrak{perm}$ algebras. Moreover, we construct a base of free mutation of free $\mathfrak{perm}$ algebra. Using Cohn's criterion for the specialty of algebras, we show that there is an exceptional homomorphic
Externí odkaz:
http://arxiv.org/abs/2410.10823
We present a comprehensive study of algebras satisfying the identity $(xy)z=y(zx),$ named as shift associative algebras. Our research shows that these algebras are related to many interesting identities. In particular, they are related to anti-Poisso
Externí odkaz:
http://arxiv.org/abs/2408.07078
Autor:
Kaygorodov, Ivan, Shashkov, Oleg
All complex $3$-dimensional nilalgebras were described. As a corollary, all degenerations in the variety of complex $3$-dimensional nilalgebras were obtained.
Comment: arXiv admin note: text overlap with arXiv:2407.05429, arXiv:2308.00374, arXiv
Comment: arXiv admin note: text overlap with arXiv:2407.05429, arXiv:2308.00374, arXiv
Externí odkaz:
http://arxiv.org/abs/2408.07574
In this paper, we develop a method to obtain the algebraic classification of noncommutative Jordan algebras from the classification of Jordan algebras of the same dimension. We use this method to obtain the algebraic classification of complex $3$-dim
Externí odkaz:
http://arxiv.org/abs/2407.05429
We compute $\frac{1}{2}$-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras $\widehat{W}_n(G)$, $\widetilde{W}_n(G)$, and $\widetilde{HW}_n(G)$. We classify all transposed Pois
Externí odkaz:
http://arxiv.org/abs/2406.15532
Publikováno v:
SIGMA 20 (2024), 107, 20 pages
In this paper, we develop a method to obtain the algebraic classification of compatible pre-Lie algebras from the classification of pre-Lie algebras of the same dimension. We use this method to obtain the algebraic classification of complex 2-dimensi
Externí odkaz:
http://arxiv.org/abs/2406.10947