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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

Completely generalized right primary rings and their extensions

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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