Results 231 to 240 of about 14,635 (256)
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Pressure-Derivative Loop for Left Ventricular Resuscitation
Archives of Surgery, 1968AFTER an open-heart surgical procedure, when the left ventricle has been involved by arrest, previous disease, dilatation during fibrillation, or similar noxious event, it has been customary to decompress the left atrium or ventricle for a short period of time at the conclusion of the intracardiac procedure.
P V, Moulder +3 more
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Generalized Jordan left derivations on semiprime algebras
Monatshefte für Mathematik, 2009Let \(A\) be a semiprime algebra with \(\text{char\,}A\neq 2\). A left derivation of \(A\) is a linear \(d\colon A\to A\) so that \(d(xy)=xd(y)+yd(x)\) for all \(x,y\in A\); \(d\) is a Jordan left derivation when \(d(x^2)=2xd(x)\) for all \(x\in A\). Given such a \(d\), call \((g,d)\) a generalized left derivation when \(g\colon A\to A\) is linear and \
Han, Dong, Wei, Feng
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Mathematical Journal of Okayama University, 1992
Let \(R\) be a ring and \(X\) be a left \(R\)-module such that \(aRx = 0\), where \(a \in R\) and \(x \in X\), implies \(a = 0\) or \(x = 0\). Suppose there exists a nonzero additive map \(D : R \to X\) satisfying \(D(a^ 2) = 2aD(a)\) for every \(a \in R\) (such maps are called Jordan left derivations). \textit{J. Vukman} and the reviewer [Proc.
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Let \(R\) be a ring and \(X\) be a left \(R\)-module such that \(aRx = 0\), where \(a \in R\) and \(x \in X\), implies \(a = 0\) or \(x = 0\). Suppose there exists a nonzero additive map \(D : R \to X\) satisfying \(D(a^ 2) = 2aD(a)\) for every \(a \in R\) (such maps are called Jordan left derivations). \textit{J. Vukman} and the reviewer [Proc.
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Left Annihilators of Commutators with Derivation on Right Ideals
Communications in Algebra, 2003Abstract Let R be a prime ring of characteristic different from 2, d a non-zero derivation of R, I a non-zero right ideal of R, a ∈ R, S 4(x 1,…, x 4) the standard polynomial in 4 variables. Suppose that, for any x, y ∈ I, a[d([x, y]), [x, y]] = 0. If S 4(I, I, I, I)I ≠ 0, then aI = ad(I) = 0.
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Jordan left derivations on semiprime rings
Mathematical Journal of Okayama University, 1997If \(R\) is a ring then \(D\in\text{End}(R,+)\) is a Jordan left derivation of \(R\) when \(D(x^2)=2xD(x)\) for all \(x\in R\). The author proves two results for such maps analogous to results known for derivations. These are: if \(R\) is a 2-torsion free semiprime ring, \(D\) a Jordan left derivation of \(R\), and \(n>1\) so that \(D(x)^n=0\) for all \
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Numerical calculation of the left and right fractional derivatives
Journal of Computational Physics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Derivations cocentralizing multilinear polynomials on left ideals
Monatshefte für Mathematik, 2010The author proves for left ideals a result of \textit{T.-L. Wong} [Taiwanese J. Math. 1, No. 1, 31-37 (1997; Zbl 0885.16022)] for ideals. Let \(R\) be a prime ring with nonzero left ideal \(L\), derivations \(d\) and \(h\), and extended centroid \(C\). Assume that \(0\neq f(X)\in C\{x_1,\dots,x_n\}\) is multilinear, and that for all \(a_j\in L\), \(d(f(
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On generalized left derivations in rings and Banach algebras
Aequationes mathematicae, 2011The author considers consequences of the existence of certain special maps of semiprime rings. Let \(R\) be a 2-torsion free semiprime ring with additive \(G,d\colon R\to R\) satisfying \(d(x^2)=2xd(x)\) and \(G(x^2)=xG(x)+xd(x)\) for all \(x\in R\).
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Weakly left cancellative semirings with derivations
São Paulo Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE Filippis +2 more
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On generalized Jordan left \(*\)-derivations in rings.
2012Summary: First we define the notion of Jordan left \(*\)-derivation and generalized Jordan left \(*\)-derivation on a \(*\)-ring \(R\) and then prove the following: Let \(n\geq 1\) be a fixed integer and \(R\) be an \((n+1)!\)-torsion free \(*\)-ring with identity element \(e\). If \(F,d\colon R\to R\) are two additive mappings satisfying \(F(x^{n+1})=(
A. Z. Ansari, SCUDO, GIOVANNI
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