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On ⁎-strong
Commutativity
Preserving with
Endomorphisms
S. Dakir (1) and A. Mamouni (2)
(1) Department
of Mathematics,
Faculty of
Sciences, Moulay
Ismaïl
University,
Meknes; Morocco
Email address:
dakirsouad0@gmail.com
(2) Department of
Mathematics, Faculty
of Sciences, Moulay
Ismaïl
University, Meknes;
Morocco
Email address:
a.mamouni.fste@gmail.com
Doi :
https://doi.org/10.47013/16.1.4
Cited by :
Jordan J. Math &
Stat.,
16 (1) (2023),
57 - 66
PDF
Received on:
Jan. 24,
2022;
Accepted
on: March 12,
2022
Abstract. In this
paper, we
investigate
commutativity of
a prime ring
with involution.
More
specifically, we
introduce
certain
algebraic
identities of
⁎-strong
commutativity
with two
endomorphisms,
and study their
connection with
the
commutativity of
these rings.
Finally, we
provide examples
to show that the
various
restrictions
imposed in the
hypothesis of
our theorems are
necessary.
Keywords: Prime ring,
involution,
commutativity,
endomorphism.
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