Results 11 to 20 of about 49,813 (239)

On $n$-derivations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
In this article, the notion of $n-$derivation is introduced for all integers $ngeq 2$. Although all derivations are $n-$derivations,  in general these notions are not equivalent.
Mohammad Hossein Sattari
doaj   +2 more sources

Approximation of Generalized Left Derivations [PDF]

open access: yesAbstract and Applied Analysis, 2008
We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
doaj   +2 more sources

Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N,  ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
doaj   +2 more sources

(⊙, ∨)-Derivations on EMV-algebras and EBL-algebras [PDF]

open access: yesRatio Mathematica
In the paper, we will study (∘, ∨)-derivations on EMV-algebras and EBL-algebras. Firstly, we define the notions of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, and we also introduce some classes of (∘, ∨)-derivations on EMV-algebras and EBL ...
Tao Liu, Hongxing Liu
doaj   +3 more sources

Generalized Derivations of BCC-Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras.
S. M. Bawazeer   +2 more
doaj   +2 more sources

Approximate *-derivations and approximate quadratic *-derivations on C*-algebras [PDF]

open access: yesJournal of Inequalities and Applications, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
doaj   +1 more source

Derivations of relativistic force transformation equations [PDF]

open access: yes, 2011
The correct general form of relativistic transformation equations for the three-vector force is derived without using four-vectors, via the relativistic Newton's second law. The four-vector approach to the problem is also presented.
Davidovic, Dragomir   +8 more
core   +1 more source

Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators [PDF]

open access: yes, 1994
1. Let be a Banach algebra. We say that homomorphisms from are continuous if every homomorphism from into a Banach algebra is automatically continuous, and that derivations from are continuous if every derivation from into a Banach -bimodule is ...
Dales, H.G.   +3 more
core   +1 more source

Hasse–Schmidt derivations versus classical derivations [PDF]

open access: yes, 2020
In this paper we survey the notion and basic results on multivariate Hasse–Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior of these derivations under the
Luis Narváez Macarro   +1 more
core   +1 more source

Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]

open access: yes, 2007
Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Rehman, Nadeem-ur   +3 more
core   +1 more source

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