http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Jordan θ-derivations on Lie triple systems
Abbas Najati 대한수학회 2009 대한수학회보 Vol.46 No.3
In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation. In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
JORDAN θ-DERIVATIONS ON LIE TRIPLE SYSTEMS
Najati, Abbas 대한수학회 2009 대한수학회보 Vol.46 No.3
In this paper we prove that every Jordan $\theta$-derivation on a Lie triple system is a $\theta$-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
ON GENERALIZED LIE IDEALS IN SEMI-PRIME RINGS WITH DERIVATION
Ozturk, M. Ali,Ceven, Yilmaz The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.1
The object of this paper is to study($\sigma,\;\tau$)-Lie ideals in semi-prime rings with derivation. Main result is the following theorem: Let R be a semi-prime ring with 2-torsion free, $\sigma$ and $\tau$ two automorphisms of R such that $\sigma\tau=\tau\sigma$=, U be both a non-zero ($\sigma,\;\tau$)-Lie ideal and subring of R. If $d^2(U)=0$, then d(U)=0 where d a non-zero derivation of R such that $d\sigma={\sigma}d,\;d\tau={\tau}d$.
PANAGIOTIDOU, KONSTANTINA,PEREZ, JUAN DE DIOS Korean Mathematical Society 2015 대한수학회보 Vol.52 No.5
In this paper the notion of Lie derivative of a tensor field T of type (1,1) of real hypersurfaces in complex space forms with respect to the generalized Tanaka-Webster connection is introduced and is called generalized Tanaka-Webster Lie derivative. Furthermore, three dimensional real hypersurfaces in non-flat complex space forms whose generalized Tanaka-Webster Lie derivative of 1) shape operator, 2) structure Jacobi operator coincides with the covariant derivative of them with respect to any vector field X orthogonal to ${\xi}$ are studied.
Konstantina Panagiotidou,Juan de Dios Perez 대한수학회 2015 대한수학회보 Vol.52 No.5
In this paper the notion of Lie derivative of a tensor field T of type (1,1) of real hypersurfaces in complex space forms with respect to the generalized Tanaka-Webster connection is introduced and is called generalized Tanaka-Webster Lie derivative. Furthermore, three dimensional real hypersurfaces in non-flat complex space forms whose generalized Tanaka-Webster Lie derivative of 1) shape operator, 2) structure Jacobi operator coincides with the covariant derivative of them with respect to any vector field X orthogonal to ξ are studied.
An Algebra with Right Identities and Its Antisymmetrized Algebra
최설희 호남수학회 2008 호남수학학술지 Vol.30 No.2
We dene the Lie-admissible algebraNW [수식]in this work. We show that the algebra and its antisym-metrized (i.e., Lie) algebra are simple. We also nd all the deriva-tions of the algebraNW[수식]and its antisymmetrized alge-bra W[수식]in the paper.
AN ALGEBRA WITH RIGHT IDENTITIES AND ITS ANTISYMMETRIZED ALGEBRA
Choi, Seul-Hee The Honam Mathematical Society 2008 호남수학학술지 Vol.30 No.2
We define the Lie-admissible algebra NW$({\mathbb{F}}[e^{A[s]},x_1,{\cdots},x_n])$ in this work. We show that the algebra and its antisymmetrized (i.e., Lie) algebra are simple. We also find all the derivations of the algebra NW$(F[e^{{\pm}x^r},x])$ and its antisymmetrized algebra W$(F[e^{{\pm}x^r},x])$ in the paper.
LIE DERIVATIVES ON HOMOGENEOUS REAL HYPERSURFACES OF TYPE A IN COMPLEX SPACE FORMS
Kwon, Jung-Hwan,SUH, YOUNG JIN 경북대학교 위상수학 기하학연구센터 1999 硏究論文集 Vol.9 No.-
The purpose of this paper is to give some characterizations of homogeneous real hypersurfaces of type A in complex space forms M_(n)(c), c≠0, in terms of Lie derivatives.
LIE DERIVATIVES ON HOMOGENEOUS REAL HYPERSURFACES OF TYPE B IN A COMPLEX PROJECTIVE SPACE
KI, U-HANG,MAEDA, SADAHIRO,SUH, YOUNG JIN 경북대학교 위상수학 기하학연구센터 1995 硏究論文集 Vol.5 No.-
The purpose of this paper is to give some characterizations of homogeneous real hypersurfaces of type B in a complex projective space P_n(C) in terms of Lie derivative.
JORDAN DERIVATIONS ON A LIE IDEAL OF A SEMIPRIME RING AND THEIR APPLICATIONS IN BANACH ALGEBRAS
김병도 한국수학교육학회 2016 純粹 및 應用數學 Vol.23 No.4
Let R be a 3!-torsion free noncommutative semiprime ring, U a Lie ideal of R; and let D : R → R be a Jordan derivation. If [D(x), x]D(x) = 0 for all x ∈ U, then D(x)[D(x), x]y - yD(x)[D(x), x] = 0 for all x, y ∈ U. And also. if D(x)[D(x), x] = 0 for all x ∈ U, then [D(x), x]D(x)y - y[D(x), x]D(x) = 0 for all x, y ∈ U. And we shall give their applications in Banach algebras.