Zobrazeno 1 - 10
of 429
pro vyhledávání: '"Chen Liangyun"'
Autor:
Yuan He, Chen Liangyun
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 182-193 (2020)
Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2
Externí odkaz:
https://doaj.org/article/64b0ccd13647463bb843b2377e32d53d
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 1538-1546 (2019)
In this paper, we apply the concept of fuzzy sets to Novikov algebras, and introduce the concepts of L-fuzzy ideals and L-fuzzy subalgebras. We get a sufficient and neccessary condition such that an L-fuzzy subspace is an L-fuzzy ideal. Moreover, we
Externí odkaz:
https://doaj.org/article/7e394200d05d4e99b9fdf7fc79218b2e
Autor:
Yuan He, Chen Liangyun
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 196-209 (2018)
In the paper, we study Lie n superderivations and generalized Lie n superderivations of superalgebras, using the theory of functional identities in superalgebras. We prove that if A = A0 ⊕ A1 is a prime superalgebra with deg(A1) ≥ 2n + 5, n ≥ 2
Externí odkaz:
https://doaj.org/article/b82842a963ed4e8d835b6999cd72cf30
Autor:
Mao, Dan, Chen, Liangyun
This paper mainly studies the ResLieDer pair in characteristic 2, that is, a restricted Lie algebra with a restricted derivation. We define the restricted representation of a ResLieDer pair and the corresponding cohomology complex. We show that a Res
Externí odkaz:
http://arxiv.org/abs/2406.07552
Publikováno v:
Open Mathematics, Vol 14, Iss 1, Pp 260-271 (2016)
In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ G
Externí odkaz:
https://doaj.org/article/9cd9c243ceb44beb94954919e8f1484c
The aim of this paper is to transfer the restrictedness theory to Hom-Lie algebras. The concept of restricted Hom-Lie algebras which is introduced in \cite{BM2} will be used in this paper. First, the existence of $p$-structures on a Hom-Lie algebra i
Externí odkaz:
http://arxiv.org/abs/2311.08406
Autor:
Liu, Shanshan, Chen, Liangyun
In this paper, we use the higher derived bracket to give the controlling algebra of pre-LieDer pairs. We give the cohomology of pre-LieDer pairs by using the twist $L_\infty$-algebra of this controlling algebra. In particular, we define the cohomolog
Externí odkaz:
http://arxiv.org/abs/2306.12425
Autor:
Liu, Shanshan, Chen, Liangyun
In this paper, we first give the notation of a compatible pre-Lie algebra and its representation. We study the relation between compatible Lie algebras and compatible pre-Lie algebras. We also construct a new bidifferential graded Lie algebra whose M
Externí odkaz:
http://arxiv.org/abs/2302.07178
In this paper, we introduce the representation of anti-pre-Lie algebras and give the second cohomology group of anti-pre-Lie algebras. As applications, first, we study linear deformations of anti-pre-Lie algebras. The notion of a Nijenhuis operator o
Externí odkaz:
http://arxiv.org/abs/2301.06917
Autor:
Sun Bing, Chen Liangyun
Publikováno v:
Open Mathematics, Vol 13, Iss 1 (2015)
In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictab
Externí odkaz:
https://doaj.org/article/1ba61d3cb8764cd29ea031728a9bbd7b