Results 11 to 20 of about 166 (91)
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.
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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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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. Abbasi, M. Mozumder, N. Dar
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Commutativity of Prime Rings with Symmetric Biderivations
Discussiones Mathematicae - General Algebra and Applications, 2018 The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y], z) = [x, y], (ii) B([x, y], m) +
Reddy B. Ramoorthy, Reddy C. Jaya Subba
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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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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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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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Generalized derivations on ideals of prime rings
, 2013 Let R be a prime ring. By a generalized derivation we mean an additive mapping g W R! R such that g.xy/D g.x/yCxd.y/ for all x;y 2 R where d is a derivation of R.
E. Albaş
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Jordan Triple Higher Derivations on Prime Rings [PDF]
, 2015 In this paper, we develop some important results relating to the concepts of triple higher derivation and Jordan triple higher derivation on ring R. We show that under certain conditions on R, every Jordan triple higher derivation on R is triple higher ...
Salih, Salah Mehdi, Haetinger, Claus
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