Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Dzhumadil'daev, A. S."'
Autor:
Ismailov, N. A., Dzhumadil'daev, A. S.
An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated subalgebra is a Leibniz algebra. We give characterizations of unary and
Externí odkaz:
http://arxiv.org/abs/2010.12936
An algebra with identities $(a,b,c)=(a,c,b)=(b,a,c)$ is called {\it assosymmetric}, where $(x,y,z)=(xy)z-x(yz)$ is associator. We study $S_n$-module, $A_n$-module and $GL_n$-module structures of free assosymmetric algebra.
Externí odkaz:
http://arxiv.org/abs/1810.05254
Autor:
Dzhumadil'daev, A. S., Ismailov, N. A.
An algebra with identities $a(bc)=b(ac),$ $(ab)c=(ac)b$ is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bicommutative algebra. We give criterions for elements of a free bicommuta
Externí odkaz:
http://arxiv.org/abs/1711.04300
Autor:
Dzhumadil'daev, A. S.
We prove that assosymmetric algebras under Jordan product are Lie triple. A Lie triple algebra is called special if it is isomorphic to a subalgebra of some plus-assosymmetric algebra. We establish that Glennie identitiy is valid for special Lie trip
Externí odkaz:
http://arxiv.org/abs/1601.06238
Autor:
Dzhumadil'daev, A. S.
We give presentation of composition inverse of formal power serie in a logarithmic form.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1602.03728
Autor:
Dzhumadil'daev, A. S.
An algebra with identities $a\circ(b\circ c-c\circ b)=(a\circ b)\circ c-(a\circ c)\circ b$ and $a\circ(b\circ c)=b\circ(a\circ c)$ is called Novikov. We show that Novikov operad is not Koszul.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/0902.3771
Autor:
Dzhumadil'daev, A. S.
An algebra with identities $a\circ(b\circ c-c\circ b)=(a\circ b)\circ c-(a\circ c)\circ b$ and $a\circ(b\circ c)=b\circ(a\circ c)$ is called Novikov. We construct free Novikov base in terms of Young diagrams. We show that codimensions exponent for a
Externí odkaz:
http://arxiv.org/abs/0902.3187
Autor:
Dzhumadil'daev, A. S.
Skew-symmetric sum of $N!$ compositions of $N$ vector fields in all possible order is called $N$-commutator. We construct 10-commutator and 13-commutator on a space of vector fields $Vect(3)$ and 10-commutator on a space of divergenceless vector fiel
Externí odkaz:
http://arxiv.org/abs/math-ph/0603054
Autor:
Dzhumadil'daev, A. S.
An alternating sum of compositions of N vector fields is called N-commutator. In general N-commutator of N vector fields is no longer a vector field. Question: is it possible to find N=N(n), such that N-commutator of any vector fields in $Vect(n)$ is
Externí odkaz:
http://arxiv.org/abs/math/0203036
Autor:
Dzhumadil'daev, A. S.
Filipov proved that Jacobian algebra is n-Lie. In our paper we consider algebras defined on associative commutative algebra U with derivation $\der$ by (k+1)-multiplication $V^{0,1,...,k}=\der^0\wedge\der^1\wedge...\wedge \der^k$ (Wronskian). We stud
Externí odkaz:
http://arxiv.org/abs/math/0202043