Zobrazeno 1 - 10
of 200
pro vyhledávání: '"17A50"'
Autor:
Stava, Jonatan
Lie Yamaguti algebras appear naturally on the smooth sections of the tangent bundle of a reductive homogeneous space when we interpret the torsion and curvature as algebraic operators. In this article we present a description of the free Lie Yamaguti
Externí odkaz:
http://arxiv.org/abs/2408.10815
Autor:
Shestakov, Ivan, Zhang, Zerui
We construct an Anick type wild automorphism $\delta$ in a 3-generated free Poisson algebra which induces a tame automorphism in a 3-generated polynomial algebra. We also show that $\delta$ is stably tame. Dedicated to the memory of professor V.A.Rom
Externí odkaz:
http://arxiv.org/abs/2407.04919
Autor:
Bahturin, Yuri, Olshanskii, Alexander
We study general nilpotent algebras. The results obtained are new even for the classical algebras, such as associative or Lie algebras. We single out certain generic properties of finite-dimensional algebras, mostly over infinite fields. The notion o
Externí odkaz:
http://arxiv.org/abs/2406.15631
For any set S, the free magmatic algebra spanned by card(S) binary products is the vector space spanned by the set of all planar rooted binary trees with the internal nodes colored by the elements of S, graded by the number of leaves of a tree. We sh
Externí odkaz:
http://arxiv.org/abs/2401.01890
Autor:
Ismailov, Nurlan, Umirbaev, Ualbai
We construct a finite-dimensional metabelian right-symmetric algebra over an arbitrary field that does not have a finite basis of identities.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2311.17758
Autor:
Pchelintsev, S. V., Shestakov, I. P.
It is proved that for any natural number $n$ the subalgebra of a free finitely generated alternative algebra generated by all the words on generators whose length is a multiple of $n$ (the Veronese $n$-subalgebra), is finitely generated.
Externí odkaz:
http://arxiv.org/abs/2311.14441
An explicit base with multiplication table is obtained for the free weakly Novikov metabelian algebra of infinite rank over an arbitrary field of characteristic $\neq 2$.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2310.12374
We introduce the variety ${\mathfrak B}_{\textrm{sup}}$ of bicommutative superalgebras over an arbitrary field of characteristic different from 2. The variety consists of all nonassociative ${\mathbb Z}_2$-graded algebras satisfying the polynomial su
Externí odkaz:
http://arxiv.org/abs/2305.09927
We show that free algebras of the variety of algebras generated by the Witt algebra $W_n$, the left-symmetric Witt algebra $L_n$, and the symplectic Poisson algebra $P_n$ can be described as subalgebras of differential polynomial algebras with respec
Externí odkaz:
http://arxiv.org/abs/2301.06693
Autor:
Drensky, Vesselin
The variety of bicommutative algebras consists of all nonassociative algebras satisfying the polynomial identities of right- and left-commutativity $(x_1x_2)x_3=(x_1x_3)x_2$ and $x_1(x_2x_3)=x_2(x_1x_3)$. Let $F_d$ be the free $d$-generated bicommuta
Externí odkaz:
http://arxiv.org/abs/2210.08317