Search Results - "Dhara, Basudeb"

Commutators and generalized derivations acting on Lie ideals in prime rings by Dhara, Basudeb

“…Let R be a prime ring of char ( R ) ≠ 2 , 3 and L a noncentral Lie ideal of R . Let U be the Utumi quotient ring of R and C = Z ( U ) be the extended centroid…”
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b-generalized skew derivations acting on Lie ideals in prime rings by Dhara, Basudeb, Singh, Kalyan

“…Let R be any noncommutative prime ring of char( R ) ≠ 2, 3, L a noncentral Lie ideal of R and F, G two nonzero b -generalized skew derivations of R . Suppose…”
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Generalized skew-derivations acting on Lie ideals with central values in prime rings by Dhara, Basudeb

“…Let R be a prime ring with characteristic different from 2 and 3, Q r be its right Martindale quotient ring, C be its extended centroid, F a nonzero…”
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Generalized derivations and multilinear polynomials in prime rings by Bera, Manami, Dhara, Basudeb

“…Suppose that R is a prime ring with Utumi quotient ring U , extended centroid C and f ( ξ 1 , … , ξ n ) a noncentral multilinear polynomial over C . Let I be a…”
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Jordan Homoderivation Behavior of Generalized Derivations in Prime Rings by Bera, Nripendu, Dhara, Basudeb

“…Suppose that R is a prime ring with char( R ) ≠ 2 and f (ξ 1 , . . . , ξ n ) is a noncentral multilinear polynomial over C (= Z ( U )) , where U is the Utumi…”
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Product of generalized derivations of order 2 with derivations acting on multilinear polynomials with centralizing conditions by Kuila, Swarup, Dhara, Basudeb

“…Let R be a prime ring with char(R) 6= 2. Suppose that f(x1,... , xn) be a noncentral multilinear polynomial over C, G be nonzero generalized derivation of R…”
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Some identities involving multiplicative generalized derivations in orime and semiprime rings by Dhara, Basudeb

“…Let $R$ be a ring with center $Z(R)$. A mapping $F:R\rightarrow R$ is called a multiplicative generalized derivation, if $F(xy)=F(x)y+xg(y)$ is fulfilled for…”
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Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings by Dhara, Basudeb

“…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…”
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A relation of generalized derivations acting on multilinear polynomials in prime rings by Kuila, Swarup, Dhara, Basudeb

“…Let R be a prime ring of c h a r ( R ) ≠ 2 , U and C the Utumi ring of quotients and the extended centroid of R , respectively, F and H two generalized…”
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Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings by Dhara, Basudeb, Kar, Sukhendu, Bera, Nripendu

“…Let R be a semiprime ring with center Z ( R ) and λ a nonzero left ideal of R . A mapping F : R → R (not necessarily additive) is said to be a multiplicative…”
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Multiplicative (generalized)-derivations acting on left sided ideals with annihilator conditions in semiprime rings by Ghosh, Sourav, Dhara, Basudeb, Sandhu, Gurninder S.

“…Let R be a semiprime ring with center Z ( R ), λ be a nonzero left-sided ideal of R , 0 ≠ a ∈ R and F , G : R → R be multiplicative (generalized)-derivations…”
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Generalized Derivations Commuting on Lie Ideals in Prime Rings by Dhara, Basudeb, Kar, Sukhendu, Kuila, Swarup

“…Let R be a prime ring of characteristic different from 2, U its Utumi quotient ring, C its extended centroid, L a non-central Lie ideal of R and F , G and H…”
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Generalized skew derivations and generalization of commuting maps on prime rings by De Filippis, Vincenzo, Dhara, Basudeb, Bera, Nripendu

“…Let R be a prime ring of characteristic different from 2, Q r be the right Martindale quotient ring of R and C = Z ( Q r ) be the extended centroid of R …”
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A note on multiplicative (generalized)-derivations and left ideals in semiprime rings by Dhara, Basudeb, Kar, Sukhendu, Kuila, Swarup

“…Let R be a semiprime ring and λ be a nonzero left ideal of R . A mapping d : R → R (not necessarily a derivation nor an additive map) which satisfies d ( x y )…”
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Remarks on Generalized Derivations in Prime and Semiprime Rings by Dhara, Basudeb

“…Let R be a ring with center Z and I a nonzero ideal of R. An additive mapping F:R→R is called a generalized derivation of R if there exists a derivation d:R→R…”
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Vanishing Derivations on Some Subsets in Prime Rings Involving Generalized Derivations by Dhara, Basudeb, De Filippis, Vincenzo, Bera, Manami

“…Let R be a noncommutative prime ring of characteristic different from 2 and 3, C the extended centroid of R , F and G two generalized derivations of R , d a…”
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A Note on Generalized Derivations of Order 2 and Multilinear Polynomials in Prime Rings by Dhara, Basudeb, Kar, Sukhendu, Kuila, Swarup

“…Let R be a prime ring of char( R )≠ 2, U its Utumi ring of quotients and center C = Z ( U ) its extended centroid, I a both sided ideal of R , f ( x 1 ,…, x n…”
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A pair of generalized derivations in prime, semiprime rings and in Banach algebras by Dhara, Basudeb, Rahmani, Venus, Sahebi, Shervin

“…Let R be a prime ring with extended centroid C, I a non-zero ideal of R and n ≥ 1 a fixed integer. If R admits the generalized derivations H and G such that…”
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Vanishing Power Values of Commutators with Derivations on Prime Rings by Dhara, Basudeb

“…Let R be a prime ring of char R≠2, d a nonzero derivation of R and ρ a nonzero right ideal of R such that [[d(x),x]n,[y,d(y)]m]t=0 for all x,y∈ρ, where n≥0,…”
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Action of three generalized derivations on Lie ideals in prime rings with n-Engel condition by Dhara, Basudeb

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