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382876

Generalized Jordan triple derivations associated with Hochschild 2–cocycles of rings

Article

Last updated: 31 Dec 2024

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Abstract

In the present work, we introduce the notion of a generalized Jordan triple derivation
associated with a Hochschild 2–cocycle, and we prove results which imply under some
conditions that every generalized Jordan triple derivation associated with a Hochschild
2–cocycle of a prime ring with characteristic different from 2 is a generalized derivation
associated with a Hochschild 2–cocycle.

DOI

10.1186/s42787-019-0003-3

Keywords

Prime ring, derivation, Generalized Jordan triple derivation, Hochschild2–cocycle

Authors

First Name

O.

Last Name

Ezzat

MiddleName

H.

Affiliation

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

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Orcid

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First Name

H.

Last Name

Nabiel

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-09-30

Publish Date

2019-12-01

Page Start

1

Page End

8

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_382876.html

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https://joems.journals.ekb.eg/service?article_code=382876

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Generalized Jordan triple derivations associated with Hochschild 2–cocycles of rings

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Article

Created At

21 Dec 2024