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Communications in Algebra Volume 40, 2012 - Issue 6
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Original Articles

Vanishing Derivations and Centralizers of Generalized Derivations on Multilinear Polynomials

Vincenzo De Filippis DI.S.I.A., Faculty of Engineering, University of Messina, Messina, ItalyCorrespondence[email protected]
&
Onofrio Mario Di Vincenzo Department of Mathematics and Computer Sciences, University of Basilicata, Potenza, Italy
Pages 1918-1932 | Received 18 Oct 2010, Published online: 15 Jun 2012

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Pallavee Gupta, Vincenzo De Filippis & S. K. Tiwari. (2024) Generalized skew-derivations acting on multilinear polynomial in prime rings. Communications in Algebra 52:1, pages 48-78.
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Ashutosh Pandey & Giovanni Scudo. (2023) b′-Generalized skew derivations acting as a Jordan derivation on multilinear polynomials in prime rings. Communications in Algebra 51:6, pages 2658-2672.
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Nripendu Bera, Basudeb Dhara & Sukhendu Kar. (2023) A result concerning b-generalized skew derivations on multilinear polynomials in prime rings. Communications in Algebra 51:3, pages 887-901.
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Basudeb Dhara, Vincenzo De Filippis & Gurninder S. Sandhu. (2022) Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings. Communications in Algebra 50:11, pages 5016-5032.
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Balchand Prajapati, Shailesh Kumar Tiwari & Charu Gupta. (2022) b-Generalized derivations act as a multipliers on prime rings. Communications in Algebra 50:8, pages 3498-3515.
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Balchand Prajapati & Charu Gupta. (2022) On b-generalized skew derivations having centralizing commutator in prime rings. Communications in Algebra 50:7, pages 2997-3006.
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Vincenzo De Filippis, B. Prajapati & S.K. Tiwari. (2022) Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems. Quaestiones Mathematicae 45:2, pages 267-305.
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Çagri Demir, Vincenzo De Filippis & Nurcan Argaç. (2020) A quadratic generalized differential identity on Lie ideals of Prime Rings. Linear and Multilinear Algebra 68:9, pages 1835-1847.
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Shailesh Kumar Tiwari & Sanjay Kumar Singh. (2020) A note on generalized derivations with multilinear polynomials in prime rings. Communications in Algebra 48:4, pages 1770-1788.
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Basudeb Dhara. (2020) A note on generalized skew-derivations on multilinear polynomials in prime rings. Quaestiones Mathematicae 43:2, pages 251-264.
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Vincenzo De Filippis & Basudeb Dhara. (2019) Generalized skew-derivations and generalization of homomorphism maps in prime rings. Communications in Algebra 47:8, pages 3154-3169.
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S. K. Tiwari & B. Prajapati. (2019) Generalized derivations act as a Jordan homomorphism on multilinear polynomials. Communications in Algebra 47:7, pages 2777-2797.
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S. K. Tiwari. (2018) Generalized derivations with multilinear polynomials in prime rings. Communications in Algebra 46:12, pages 5356-5372.
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S. K. Tiwari, R. K. Sharma & B. Dhara. (2017) Derivations vanishing on commutators with generalized derivation of order 2 in prime rings. Communications in Algebra 45:8, pages 3542-3554.
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R. K. Sharma, B. Dhara & S. K. Tiwari. (2016) Left Annihilator of Commutator Identity with Generalized Derivations and Multilinear Polynomials in Prime Rings. Communications in Algebra 44:8, pages 3611-3621.
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Basudeb Dhara, Nurcan Argac & Emine Albas. (2016) Vanishing Derivations and Co-Centralizing Generalized Derivations on Multilinear Polynomials in Prime Rings. Communications in Algebra 44:5, pages 1905-1923.
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Cheng-Kai Liu, Hung-Yuan Chen & Pao-Kuei Liau. (2014) Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras. Linear and Multilinear Algebra 62:4, pages 453-465.
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Cheng-Kai Liu & Wen-Kwei Shiue. (2013) On the Centralizers of Derivations with Engel Conditions. Communications in Algebra 41:5, pages 1636-1646.
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Articles from other publishers (36)

Manami Bera & Basudeb Dhara. (2023) Generalized derivations and multilinear polynomials in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 73:1, pages 415-427.
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Nripendu Bera & Basudeb Dhara. (2024) Jordan Homoderivation Behavior of Generalized Derivations in Prime Rings. Ukrainian Mathematical Journal 75:9, pages 1340-1360.
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Vincenzo De Filippis, Pallavee Gupta, Shailesh Kumar Tiwari & Balchand Prajapati. (2024) Centralizing identities involving generalized derivations in prime rings. Georgian Mathematical Journal 0:0.
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Nripendu Bera & Basudeb Dhara. (2023) Jordan homoderivation behavior of generalized derivations in prime rings. Ukrains’kyi Matematychnyi Zhurnal 75:9, pages 1178-1194.
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Ashutosh PANDEY & Balchand PRAJAPATİ. (2023) Two generalized derivations on Lie ideals in prime rings. International Electronic Journal of Algebra 34:34, pages 48-61.
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Charu Gupta. (2022) On b-generalized derivations in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 72:4, pages 2703-2720.
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Pallavee Gupta, S. K. Tiwari & B. Prajapati. (2023) Identities involving generalized derivations act as Jordan homomorphisms. Indian Journal of Pure and Applied Mathematics.
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S. K. Tiwari. (2022) Product and commuting generalized derivations in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 72:2, pages 1377-1397.
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Ashutosh Pandey. (2022) Pair of generalized derivations on Lie ideals in prime rings. Asian-European Journal of Mathematics 16:01.
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Basudeb Dhara, Sukhendu Kar & Swarup Kuila. (2022) A Note on Generalized Derivations of Order 2 and Multilinear Polynomials in Prime Rings. Acta Mathematica Vietnamica 47:4, pages 755-773.
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B. Dhara & G. S. Sandhu. (2022) Central Values Involving Generalized Skew Derivations and Polynomials in Prime Rings. Siberian Mathematical Journal 63:6, pages 1231-1242.
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Swarup Kuila & Basudeb Dhara. (2022) A relation of generalized derivations acting on multilinear polynomials in prime rings. Boletín de la Sociedad Matemática Mexicana 28:3.
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B. Prajapati & C. Gupta. (2022) Generalized derivations of order $2$ on multilinear polynomials in prime rings. Matematychni Studii 58:1, pages 26-35.
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Vincenzo DE FILIPPIS, Nadeem Ur REHMAN & Giovanni SCUDO. (2022) Annihilator conditions with generalized skew derivations and Lie ideals of prime rings. International Electronic Journal of Algebra 32:32, pages 192-216.
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B. Dhara, S. Kar & M. Bera. (2022) X-generalized skew derivations with annihilating and centralizing conditions in prime rings. ANNALI DELL'UNIVERSITA' DI FERRARA 68:1, pages 147-160.
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S. K. Tiwari. (2021) Identities with generalized derivations in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 71:1, pages 207-223.
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V. K. Yadav. (2021) Identities involving generalized derivations in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 71:1, pages 259-270.
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Mohammad Ashraf, Sajad Ahmad Pary & Mohd Arif Raza. (2021) m -potent commutators involving skew derivations and multilinear polynomials . Georgian Mathematical Journal 28:4, pages 519-527.
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Basudeb Dhara, Vincenzo De Filippis & Manami Bera. (2021) Vanishing Derivations on Some Subsets in Prime Rings Involving Generalized Derivations. Bulletin of the Malaysian Mathematical Sciences Society 44:4, pages 2693-2714.
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Basudeb Dhara, Nripendu Bera, Sukhendu Kar & Brahim Fahid. (2021) Generalized Derivations and Generalization of Co-commuting Maps in Prime Rings. Taiwanese Journal of Mathematics 25:1.
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Balchand Prajapati & Charu Gupta. (2019) Composition and orthogonality of derivations with multilinear polynomials in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 69:3, pages 1279-1294.
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Basudeb Dhara. (2019) Generalized skew-derivations acting on Lie ideals with central values in prime rings. ANNALI DELL'UNIVERSITA' DI FERRARA 66:1, pages 1-12.
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Basudeb DHARA, Sukhendu KAR & Priyadwip DAS. (2020) Pair of generalized derivations acting on multilinear polynomials in prime rings. Hacettepe Journal of Mathematics and Statistics 49:2, pages 740-753.
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S. K. Tiwari. (2019) Identities with Generalized Derivations and Multilinear Polynomials. Bulletin of the Iranian Mathematical Society 46:2, pages 425-440.
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R. K. Sharma, B. Dhara & C. Garg. (2018) A result concerning generalized derivations on multilinear polynomials in prime rings. Rendiconti del Circolo Matematico di Palermo Series 2 68:2, pages 275-291.
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B Dhara, C Garg & R K Sharma. (2019) An identity on generalized derivations involving multilinear polynomials in prime rings. Proceedings - Mathematical Sciences 129:3.
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Priyadwip Das, Basudeb Dhara & Sukhendu Kar. (2019) Generalized skew-derivations annihilating and centralizing on multilinear polynomials in prime rings. Proceedings - Mathematical Sciences 129:2.
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S. K. Tiwari & R. K. Sharma. (2017) Derivations Vanishing Identities Involving Generalized Derivations and Multilinear Polynomial in Prime Rings. Mediterranean Journal of Mathematics 14:5.
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E. Albaş, N. Argaç & V. De Filippis. (2017) Centralizers of generalized skew derivations on multilinear polynomials. Siberian Mathematical Journal 58:1, pages 1-10.
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Basudeb Dhara, Mohd Arif Raza & Nadeem Ur Rehman. (2016) Commutator identity involving generalized derivations on multilinear polynomials. ANNALI DELL'UNIVERSITA' DI FERRARA 62:2, pages 205-216.
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V. De Filippis, B. Dhara & G. Scudo. (2016) Generalized Derivations and Commuting Additive Maps on Multilinear Polynomials in Prime Rings. Ukrainian Mathematical Journal 68:2, pages 203-223.
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Vincenzo De Filippis. (2016) Annihilating and power-commuting generalized skew derivations on lie ideals in prime rings. Czechoslovak Mathematical Journal 66:2, pages 481-492.
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Basudeb Dhara & Nurcan Argaç. (2015) Generalized Derivations Acting on Multilinear Polynomials in Prime Rings and Banach Algebras. Communications in Mathematics and Statistics 4:1, pages 39-54.
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Luisa Carini, Vincenzo De Filippis & Giovanni Scudo. (2014) Power-Commuting Generalized Skew Derivations in Prime Rings. Mediterranean Journal of Mathematics 13:1, pages 53-64.
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V. De Filippis, G. Scudo & L. Sorrenti. (2014) Two-Sided Annihilator Condition with Generalized Derivations on Multilinear Polynomials. International Scholarly Research Notices 2014, pages 1-9.
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CHENG-KAI LIU. (2013) AN ENGEL CONDITION WITH AUTOMORPHISMS FOR LEFT IDEALS. Journal of Algebra and Its Applications 13:02, pages 1350092.
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