MATHEMATICAL formulasMATHEMATICAL modelsIn this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring. An example is pro...
Let be the SchrdingerVirasoro Lie algebra over the complex field . In this article, we prove that each biderivation of is inner. As an application of biderivations, we show that every linear commuting map on has the form (x) = x + f(x)M0, where , M0 is a basis of the one-dimens...
摘要: In this paper, we investigate Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras mainly using the techniques introduced recently, which indicate that all cases considered in this paper except one behave different from their centerless ones.关键词:...
Moreover,if R is a 2-torsion free prime ring and U aLie idealof R such that u2∈U for all u∈U and γ is a generalized derivation with d≠0,B∶R×R→R is a symmetric biderivation associated with the trace function g(x)=B(x,x),then U■Z(R) when one of the following condit...
3.1Berends–Giele recursion for biadjoint scalar theories Consider a biadjoint scalar field\(\Phi \)with values in the tensor product of two Lie algebras\({\mathfrak {g}}\otimes {\tilde{{\mathfrak {g}}} \). Let these have structure constants\(f^{abc}\)and\({\tilde{f}} ^{{\ti...
Also, we discuss some applications to the study of deformations of regular BiHom-Lie conformal algebras. Finally, we introduce derivations of multiplicative BiHom-Lie conformal algebras and study their properties.关键词: BiHom-Lie conformal algebra cohomology deformation Nijenhuis operator derivation ...
Moreover, we prove that every bi-skew Lie or bi-skew Lie triple homomorphism at the unit is a Jordan *-homomorphism. 关键词: bi-skew Lie derivation C*-algebra Jordan derivation Jordan homomorphism 年份: 2024 收藏 引用 批量引用 报错 分享 ...
就是,设M是实平面全体二次不可分裂曲线之集,p是M上由下述规则给出的等价关系二r任M等价于r,〔M,当且仅当r:是r经由平面的一个运动(即等距,见等距映射(isonr苗cmapp呢))而得到的.如果Ax,+2 Bx夕+C夕,+ZDx十ZEy+F=0是曲线r任M在一D岛口It图坐标系的方程,设a(r)二A+C, IA B Dl }A BI{l...
讲座论坛简介 Let $L$ be a Lie algebra over a commutative unital ring containing 1/2. We will show that, if $L$ is perfect and centerless, then every skew-symmetric biderivation $D$ of $L$ is of the form $D(x,y)=C([x,y]) $ for all $x,y\in L$, where C is in the ...
The purpose of this paper is to study the relationships between a BiHom-Lie superalgebras and its induced 3-BiHom-Lie superalgebras. We introduce the notion of $(\\alpha^s,\\beta^r)$-derivation, $(\\alpha^s,\\beta^r)$-quasiderivation and generalized $(\\alpha^s,\\beta^r)$-...