Jordan derivations of alternative rings

Bruno Leonardo Macedo Ferreira; Henrique Guzzo; Ruth Nascimento Ferreira; Feng Wei

doi:10.1080/00927872.2019.1659285

Jordan derivations of alternative rings

Bruno Leonardo Macedo Ferreira^*
, Henrique Guzzo
, Ruth Nascimento Ferreira
, Feng Wei

^*Corresponding author for this work

School of Mathematics and Statistics

Universidade Tecnológica Federal do Paraná
Universidade de São Paulo

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

15 Citations (Scopus)

Abstract

Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovič and Širovnik’s to the case of alternative rings.

Original language	English
Pages (from-to)	717-723
Number of pages	7
Journal	Communications in Algebra
Volume	48
Issue number	2
DOIs	https://doi.org/10.1080/00927872.2019.1659285
Publication status	Published - 1 Feb 2020

Keywords

Alternative ring
Jordan derivation

Access to Document

10.1080/00927872.2019.1659285

Cite this

@article{0a8dc9bb388c443bb205d16bf3db972f,

title = "Jordan derivations of alternative rings",

abstract = "Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovi{\v c} and {\v S}irovnik{\textquoteright}s to the case of alternative rings.",

keywords = "Alternative ring, Jordan derivation",

author = "\{Macedo Ferreira\}, \{Bruno Leonardo\} and Henrique Guzzo and \{Nascimento Ferreira\}, Ruth and Feng Wei",

note = "Publisher Copyright: {\textcopyright} 2019, {\textcopyright} 2019 Taylor \& Francis Group, LLC.",

year = "2020",

month = feb,

day = "1",

doi = "10.1080/00927872.2019.1659285",

language = "English",

volume = "48",

pages = "717--723",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Jordan derivations of alternative rings

AU - Macedo Ferreira, Bruno Leonardo

AU - Guzzo, Henrique

AU - Nascimento Ferreira, Ruth

AU - Wei, Feng

PY - 2020/2/1

Y1 - 2020/2/1

N2 - Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovič and Širovnik’s to the case of alternative rings.

AB - Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovič and Širovnik’s to the case of alternative rings.

KW - Alternative ring

KW - Jordan derivation

UR - https://www.scopus.com/pages/publications/85073779393

U2 - 10.1080/00927872.2019.1659285

DO - 10.1080/00927872.2019.1659285

M3 - Article

AN - SCOPUS:85073779393

SN - 0092-7872

VL - 48

SP - 717

EP - 723

JO - Communications in Algebra

JF - Communications in Algebra

IS - 2

ER -

Jordan derivations of alternative rings

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this