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Communications in Algebra Volume 44, 2016 - Issue 5
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Original Articles

Vanishing Derivations and Co-Centralizing Generalized Derivations on Multilinear Polynomials in Prime Rings

Basudeb DharaDepartment of Mathematics, Belda College, Belda, Paschim Medinipur, IndiaCorrespondence[email protected]
,
Nurcan ArgacDepartment of Mathematics, Science Faculty, Ege University, Bornova, Izmir, Turkey
&
Emine AlbasDepartment of Mathematics, Science Faculty, Ege University, Bornova, Izmir, Turkey
Pages 1905-1923 | Received 03 Nov 2014, Published online: 25 Apr 2016

Citations (18)

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Read on this site (7)

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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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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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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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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Luisa Carini, Vincenzo De Filippis & Giovanni Scudo. (2018) Vanishing and cocentralizing generalized derivations on Lie ideals. Communications in Algebra 46:10, pages 4292-4316.
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Cheng-Kai Liu & Pao-Kuei Liau. (2018) Generalized derivations preserving quasinilpotent elements in Banach algebras. Linear and Multilinear Algebra 66:9, pages 1888-1908.
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Articles from other publishers (11)

Vincenzo De Filippis, Giovanni Scudo & Feng Wei. (2022) On X-generalized skew derivations and their applications. Journal of Algebra and Its Applications 23:03.
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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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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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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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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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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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Pao-Kuei Liau & Cheng-Kai Liu. (2018) An Engel condition with b-generalized derivations for Lie ideals. Journal of Algebra and Its Applications 17:03, pages 1850046.
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Vincenzo De Filippis & Feng Wei. (2018) Centralizers of X-Generalized Skew Derivations on Multilinear Polynomials in Prime Rings. Communications in Mathematics and Statistics 6:1, pages 49-71.
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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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