Generalized Lie Triple Derivations of Trivial Extension Algebras

Mohammad Ashraf; Mohammad Afajal Ansari; Md Shamim Akhter

doi:10.1007/978-981-99-2310-6_23

Generalized Lie Triple Derivations of Trivial Extension Algebras

Mohammad Ashraf^*
, Mohammad Afajal Ansari
, Md Shamim Akhter

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this article, we give the structure of generalized Lie triple derivations of trivial extension algebras and prove that under certain appropriate assumptions every generalized Lie triple derivation of a trivial extension algebra is the sum of a generalized derivation and a linear mapping from the trivial extension algebra into its center that vanishes on all second commutators.

Original language	English
Title of host publication	Indian Statistical Institute Series
Publisher	Springer Science and Business Media B.V.
Pages	461-472
Number of pages	12
DOIs	https://doi.org/10.1007/978-981-99-2310-6_23
State	Published - 2023
Externally published	Yes

Publication series

Name	Indian Statistical Institute Series
Volume	Part F1229
ISSN (Print)	2523-3114
ISSN (Electronic)	2523-3122

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Keywords

Derivation
Generalized Lie triple derivation
Generalized derivation
Triangular algebra
Trivial extension algebra

ASJC Scopus subject areas

Computer Science (miscellaneous)
Statistics and Probability
Mathematics (miscellaneous)
Computer Science Applications
Statistics, Probability and Uncertainty
Applied Mathematics

Access to Document

10.1007/978-981-99-2310-6_23

Cite this

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Generalized Lie Triple Derivations of Trivial Extension Algebras. / Ashraf, Mohammad; Ansari, Mohammad Afajal; Akhter, Md Shamim.
Indian Statistical Institute Series. Springer Science and Business Media B.V., 2023. p. 461-472 (Indian Statistical Institute Series; Vol. Part F1229).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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KW - Triangular algebra

KW - Trivial extension algebra

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