Jordan derivations of generalized one point extensions

Yanbo Li; Feng Wei

doi:10.2298/FIL1811089L

Jordan derivations of generalized one point extensions

Yanbo Li, Feng Wei

School of Mathematics and Statistics

Northeastern University China

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

For a generalized one-point extension algebra, it is proved that under certain conditions, each Jordan derivation is the sum of a derivation and an anti-derivation. Moreover, we prove that every Jordan derivation of a dual extension algebra is a derivation.

Original language	English
Pages (from-to)	4089-4098
Number of pages	10
Journal	Filomat
Volume	32
Issue number	11
DOIs	https://doi.org/10.2298/FIL1811089L
Publication status	Published - 2018

Keywords

Dual extension
Generalized one-point extension
Jordan derivation

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10.2298/FIL1811089L

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abstract = "For a generalized one-point extension algebra, it is proved that under certain conditions, each Jordan derivation is the sum of a derivation and an anti-derivation. Moreover, we prove that every Jordan derivation of a dual extension algebra is a derivation.",

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AU - Wei, Feng

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AB - For a generalized one-point extension algebra, it is proved that under certain conditions, each Jordan derivation is the sum of a derivation and an anti-derivation. Moreover, we prove that every Jordan derivation of a dual extension algebra is a derivation.

KW - Dual extension

KW - Generalized one-point extension

KW - Jordan derivation

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VL - 32

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JO - Filomat

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Jordan derivations of generalized one point extensions

Abstract

Keywords

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