Results 11 to 20 of about 171 (79)
Commutative bidifferential algebra [PDF]
Journal of Algebra, 2021 . Motivated by the Poisson Dixmier-Moeglin equivalence problem, a systematic study of commutative unitary rings equipped with a biderivation , namely a binary operation that is a derivation in each argument, is here begun, with an eye toward the geometry
O. Sánchez, Rahim Moosa
semanticscholar +1 more source
CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS
International Electronic Journal of Algebra, 2021 The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind.
M. A. Idrissi, L. Oukhtite
semanticscholar +1 more source
On The Identity d(x) = λx + ζ(x)
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), 2021 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, where d a derivation on R and R has a cancellation property with identity.
M. Atteya, D. Resan
semanticscholar +1 more source
Prime Gamma Rings with Centralizing and Commuting Generalized Derivations [PDF]
, 2016 Let M be a prime Γ-ring satisfying a certain assumption and D a nonzero derivation on M . Let f : M → M be a generalized derivation such that f is centralizing and commuting on a left ideal J of M . Then we prove that M is commutative.
Md Fazlul Hoque, A. C. Paul
semanticscholar +1 more source
ENDOMORPHISMS WITH CENTRAL VALUES ON PRIME RINGS WITH INVOLUTION
International Electronic Journal of Algebra, 2020 In this paper we present some commutativity theorems for prime rings R with involution ∗ of the second kind in which endomorphisms satisfy certain algebraic identities.
L. Oukhtite, H. E. Mir, B. Nejjar
semanticscholar +1 more source
, 2020 Let T = T (n1,n2, · · · ,nk) ⊆ Mn(C ) be a block upper triangular matrix algebra and let M be a 2-torsion free unital T -bimodule, where C is a commutative ring. Let Δ : T →M be a C -linear map. We show that if Δ(X)Y +XΔ(Y)+Δ(Y)X +YΔ(X) = 0 whenever X ,Y
H. Ghahramani +2 more
semanticscholar +1 more source
Generalized Lie derivations of unital algebras with idempotents
, 2018 Let A be a unital algebra with a nontrivial idempotent e over a unital commutative ring R . We show that under suitable assumptions every generalized Lie n -derivation F : A → A is of the form F(x) = λx+ Δ(x) , where λ ∈ Z(A ) and Δ is a Lie n ...
Dominik Benkovič
semanticscholar +1 more source
APPROXIMATE QUADRATIC MAPPINGS IN MODULAR SPACES
, 2017 In this article, we investigate an alternative generalized Hyers–Ulam stability theorem of a modified quadratic functional equation in a modular space Xρ using ∆3-condition without the Fatou property on the modular function ρ. AMS Subject Classification:
H. Kim, Y. S. Hong
semanticscholar +1 more source
Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
doaj +1 more source
Functional equations related to higher derivations in semiprime rings
Open Mathematics, 2021 We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
Ezzat O. H.
doaj +1 more source