Armenian Journal of Mathematics, 9(1)
2017; 20–27
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Completely generalized right primary rings and their extensions

Vijay Kumar Bhat*

Received: 2024-12-17 · Published: 2017-06-09

© 2017 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Originally published in Armenian Journal of Mathematics, 9(1), 2017.

Original title
Completely generalized right primary rings and their extensions
Author
Vijay Kumar Bhat
Source journal
Armenian Journal of Mathematics, 9(1)
Published
2017-06-09
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/138

Abstract

A ring RR is said to be a completely generalized right primary ring (c.g.r.pc.g.r.p ring) if a,b∈Ra,b∈R with ab=0ab=0 implies that a=0a=0 or bb is nilpotent. Let now RR be a ring and σσ an automorphism of RR. In this paper we extend the property of a completely generalized right primary ring (c.g.r.pc.g.r.p ring) to the skew polynomial ring R[x;σ]R[x;σ].
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