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Ring
endomorphisms
satisfying
Z-symmetric
property
Avanish Kumar Chaturvedi (1) and Nirbhay Kumar
(2)
(1) Department
of Mathematics,
University of
Allahabad,
Prayagraj-211002,
India
Email address:
akchaturvedi.math@gmail.com
/
achaturvedi@allduniv.ac.in
(2) Department of
Mathematics,
University of
Allahabad,
Prayagraj-211002,
India
Email address:
nirbhayk2897@gmail.com
Doi :
https://doi.org/10.47013/17.1.9
Cited by :
Jordan J. Math &
Stat.,
17 (1) (2024),
145 - 159
PDF
Received on:
Nov. 29,
2022;
Accepted
on: May 18,
2023
Abstract. The notion
of α-skew
Z-symmetric
rings is
introduced as a
generalization
of Z-symmetric
rings. We prove
that the notions
of α-skew
Z-symmetric
rings and
Z-symmetric
rings are
independent, and
we give some
sufficient
conditions over
which these
notions are
equivalent. We
investigate some
basic properties
of α-skew
Z-symmetric
rings and give a
characterization
of them.
Moreover, we
provide some
characterizations
of α-skew
Z-symmetric
rings utilizing
the Dorroh
extension,
triangular
matrix ring etc.
Finally, we
generalize some
results of
Z-symmetric
rings to α-skew
Z-symmetric
rings.
Keywords: endomorphisms;
Z-symmetric
rings, α-skew
reversible
rings, α-skew
Z-symmetric
rings.
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