Zobrazeno 1 - 10
of 747
pro vyhledávání: '"17A30"'
Autor:
Mashurov, Farukh
We study unital commutative associative algebras and their associated n-Lie algebras, showing that they are strong transposed Poisson $n$-Lie algebras under specific compatibility conditions. Furthermore, we generalize the simplicity criterion for tr
Externí odkaz:
http://arxiv.org/abs/2501.01714
Autor:
Normatov, Zafar
In this paper, we introduce the notion of compatible anti-pre-Lie algebras and study relationship between them and the related structures such as anti-$\mathcal{O}$-operators, commutative $2$-cocycles on compatible Lie algebras. Moreover, we give the
Externí odkaz:
http://arxiv.org/abs/2412.16273
Under the common theme of splitting of operations, the notions of (tri)dendriform algebras, pre-Lie algebras and post-Lie algebras have attracted sustained attention with broad applications. An important aspect of their studies is as the derived stru
Externí odkaz:
http://arxiv.org/abs/2412.08001
This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum is associative. In the paper all four-dimensional complex anti-dendrifo
Externí odkaz:
http://arxiv.org/abs/2412.05295
Autor:
Ncib, Othmen, Silvestrov, Sergei
The purpose of this paper is to introduce the class of noncommutative $3$-BiHom-Poisson color algebras, which is a combination of $3$-BiHom-Lie color algebras and BiHom-associative color algebras under a compatibility condition, called BiHom-Leibniz
Externí odkaz:
http://arxiv.org/abs/2411.01413
We develop the concept of a homogeneity supermanifold, which is more general than most of the approaches to graded manifolds present in the literature. Instead of doing it via ringed spaces and sheaves of graded algebras, we prefer a purely different
Externí odkaz:
http://arxiv.org/abs/2411.00537
In this paper, we find the Hochschild cohomology groups of the universal associative conformal envelope $U(3)$ of the Virasoro Lie conformal algebra with respect to associative locality $N=3$ on the generator with coefficients in all finite modules.
Externí odkaz:
http://arxiv.org/abs/2411.00812
Autor:
Chen, Siyuan, Bai, Chengming
The notions of the Novikov deformation of a commutative associative algebra and the corresponding classical limit are introduced. We show such a classical limit belongs to a subclass of transposed Poisson algebras, and hence the Novikov deformation i
Externí odkaz:
http://arxiv.org/abs/2410.16056
The present paper is devoted to the complete classification of $4$-dimensional complex Poisson algebras, taking into account a classification, up to isomorphism, of the complex commutative associative algebras of dimension $4$, as well as by using a
Externí odkaz:
http://arxiv.org/abs/2410.07957
Publikováno v:
Journal of Algebra (2025) 663: 210-258
It is known that the operads of perm algebras and pre-Lie algebras are the Koszul dual each other and hence there is a Lie algebra structure on the tensor product of a perm algebra and a pre-Lie algebra. Conversely, we construct a special perm algebr
Externí odkaz:
http://arxiv.org/abs/2409.13230