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On Higher order
Homoderivations
in Semi-Prime
Rings
Said Belkadi (1) and Lahcen Taoufiq
(2)
(1) Mathematics
Computer
Sciences and
Applications
Laboratory,
National School
of Applied
Sciences
Email address:
said.belkadi@edu.uiz.ac.ma
(2) Mathematics
Computer Sciences
and Applications
Laboratory, National
School of Applied
Sciences
Email address:
l.taoufiq@uiz.ac.ma
Doi :
https://doi.org/10.47013/17.1.6
Cited by :
Jordan J. Math &
Stat.,
17 (1) (2024),
99 - 112
PDF
Received on:
Oct. 30,
2022;
Accepted
on: Jun. 25,
2023
Abstract. Considering
R as an
associative
ring, a map h
which is
additive on R
with the
property h(zw) =
h(z)h(w) + h(z)w
+ zh(w) valid
for every z, w ϵ
R is called a
homoderivation
on R. In this
paper our
purpose is to
demonstrate
results about
this kind of
mappings on
rings. The link
between n-Jordan
homoderivations
that are
mappings...........................
Keywords: Homoderivation,
Jordan
homoderivation,
Leibniz formula,
iterates of
homoderivations,
prime and
semi-prime ring.
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