Results 11 to 20 of about 320 (83)
On the Skew Lie Product and Derivations of Prime Rings with Involution
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − ba∗. The purpose of this paper is to study the commutativity of a prime ring which satisfies the various ∗-differential identities involving skew Lie ...
Mozumder Muzibur Rahman +3 more
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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
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Commutativity with Derivations of Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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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
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A note on skew Lie product of prime ring with involution
, 2020 Let R be a ring with involution. The skew Lie product of a,b∈R is defined byO[a,b] = ab−ba∗. In the present paper we study prime ring with involution satisfying identities involving skew Lie product and left centralizers.
A. Abbasi̇, M. Mozumder, N. Dar
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Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]
, 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
Bell, Howard E., Rehman, Nadeem-ur
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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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On Generalized Derivations and Commutativity of Associative Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈.
Sandhu Gurninder S. +2 more
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On directed zero-divisor graphs of finite rings [PDF]
, 2004 For an artinian ring $R$, the directed zero-divisor graph $\Gamma(R)$ is connected if and only if there is no proper one-sided identity element in $R$. Sinks and sources are characterized and clarified for finite ring $R$, especially, it is proved that ...
Wu, Tongsuo
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On strong commutativity preserving like maps in rings with involution
, 2015 The main purpose of this paper is to prove the following result: Let R be a prime ring with involution of the second kind and with char.R/ 6D 2. If R admits a nonzero derivation d W R!
Shakir Ali, N. Dar, A. Khan
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