Results 1 to 10 of about 1,881,139 (280)
Jordan derivations of polynomial rings
Karpatsʹkì Matematičnì Publìkacìï, 2009 We study connections between the set of Jordan derivations of aring $R$ and the sets of Jordan derivations of a polynomial ring$R[x_1,dots,x_n]$ and formal power series ring$R[[x_1,dots,x_n]]$.
I. I. Lishchynsky
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The derivation algebra and automorphism group of the electrical Lie algebra of type D5
上海师范大学学报. 自然科学版In this paper, we mainly investigate the derivation algebra and automorphism group of type D5 electrical Lie algebra. We prove that the outer derivations are four-dimensional, and the automorphism group Aut $\mathcal{L} \cong \mathbb{C}^* \ltimes\left ...
LI Zhiling, SHEN Ran
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Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2017 Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R.
Dhara Basudeb
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Journal of Mathematical Extension, 2015 Let A and B be unital Banach algebras and M be a left A-module and right B-module. We consider generalized derivations associate with Hochschild 2-cocycles on triangular Banach algebra T (related to A, B and M).
M. Kanani Arpatapeh∗, A. Jabbari
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Association of ST elevation with apical aneurysm in hypertrophic cardiomyopathy
Indian Heart Journal, 2015 Objectives: Apical aneurysms in patients with hypertrophic cardiomyopathy (HCM) represent an underrecognized but clinically important subset of HCM patients.
Ozcan Ozeke +9 more
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On Generalized Left Derivation on Semiprime Rings
Engineering and Technology Journal, 2016 Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x)oF(y) xoy, (4) d(x)oF(y) [x, y], for all x, yR.
A. Majeed, Shaima,a Yass, a B. Yass
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On the stability of higher ring left derivations
Indian Journal of Pure and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Engel condition with derivation for left ideals [PDF]
Proceedings of the American Mathematical Society, 1997 We generalize a number of results in the literature by proving the following theorem: Let R R be a semiprime ring,
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Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on ∗-Algebra
MathematicsConsider a unital ∗-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive ∗-derivation under certain conditions ...
Amal S. Alali, Md Arshad Madni
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Generalized Derivations on Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2013 Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left generalized) derivation with associated derivation d on N if f(xy)=f(x)y+xd(y) (resp., f(xy)=d(x)y+xf(y)) for all x,y∈N.
Asma Ali, Howard E. Bell, Phool Miyan
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