Results 21 to 30 of about 789 (162)

(θ1,θ2) - Derivation Pair on Rings

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2022
Ring theory is one of the influential branches of abstract algebra. In this field, many algebraic problems have been considered by mathematical researchers who are working in this field.
Mohammed Khalid Shahoodh
doaj   +1 more source

Local derivations on Jordan triples [PDF]

open access: yesBulletin of the London Mathematical Society, 2013
R.V. Kadison defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation (Kadison 1990). We provide the analogous result in the setting of Jordan triples.
openaire   +4 more sources

Generalized Projective product of semi-rings

open access: yesWasit Journal of Computer and Mathematics Science
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
doaj   +1 more source

Jordan superderivations. II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
doaj   +1 more source

On (m,n)-Derivations of Some Algebras

open access: yesDemonstratio Mathematica, 2014
Let A be a unital algebra, δ be a linear mapping from A into itself and m, n be fixed integers. We call δ an (m, n)-derivable mapping at Z, if mδ(AB) + nδ(BA) = mδ(A)B + mAδ(B) + nδ(B)A for all A,B ∈ A with AB = Z.
Shen Qihua, Li Jiankui, Guo Jianbin
doaj   +1 more source

Lie triple derivations of dihedron algebra

open access: yesFrontiers in Physics, 2023
Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
doaj   +1 more source

Jordan derivations on semiprime rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation.
openaire   +1 more source

Unification Theories: New Results and Examples

open access: yesAxioms, 2019
This paper is a continuation of a previous article that appeared in AXIOMS in 2018. A Euler’s formula for hyperbolic functions is considered a consequence of a unifying point of view.
Florin F. Nichita
doaj   +1 more source

(m,n)-Jordan derivations

open access: yesFilomat, 2014
A subspace lattice L on H is called commutative subspace lattice if all projections in L commute pairwise. It is denoted by CSL. If L is a CSL, then algL is called a CSL algebra. Under the assumption m + n ? 0 where m,n are fixed integers, if ? is a mapping from L into itself satisfying the condition (m + n)?(A2) = 2m?(A)A + 2nA?(A) for all
Majeed, Asia, Ozel, Cenap
openaire   +3 more sources

On Jordan ideals with left derivations in 3-prime near-rings

open access: yesExtracta Mathematicae, 2023
We will extend in this paper some results about commutativity of Jordan ideals proved in [2] and [6]. However, we will consider left derivations instead of derivations, which is enough to get good results in relation to the structure of near-rings.
A. En-guady, A. Boua
doaj  

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