Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61882/ijmsi
14
8888
13
en
jalali
1404
6
1
gregorian
2025
9
1
20
2
online
1
fulltext
en
Multiplicative Lie Triple Higher Derivation on Unital Algebra
عمومى
General
پژوهشي
Research paper
<div style="text-align: justify;">In this article, we show that under certain assumptions every multiplicative Lie triple higher derivation <em>L= {L<sub>i</sub>}<sub>i∈N</sub></em> on <em>U</em> is of standard form, i.e., each component <em>L<sub>i</sub></em> has the form <em>L<sub>i</sub> = δ<sub>i</sub> + γ<sub>i</sub></em>, where <em>{δ<sub>i</sub>}<sub>i∈N</sub></em> is an additive higher derivation on <em>U</em> and <em>{γ<sub>i</sub>}<sub>i∈N</sub></em> is a sequence of mappings <em>γ<sub>i</sub> : U → Z(U)</em> vanishing at Lie triple products on <em>U</em>.</div>
Unital algebra, Lie triple derivation, Lie triple higher derivation.
101
121
http://ijmsi.ir/browse.php?a_code=A-10-6256-1&slc_lang=en&sid=1
Mohammad
Ashraf
mashraf80@hotmail.com
100319475328460011719
100319475328460011719
No
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Aisha
Jabeen
ajabeen329@gmail.com
100319475328460011720
100319475328460011720
Yes
Department of Physics, Jamia Millia Islamia, New Delhi 110025, India
Feng
Wei
daoshuo@hotmail.com
100319475328460011721
100319475328460011721
No
School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China