Completely generalized right primary rings and their extensions

Author(s)

Completely generalized right primary rings and their extensions Vijay Kumar Bhat

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].

DOI: https://armjmath.sci.am/index.php/ajm/article/view/138 Armenian Journal of Mathematics, 9(1) 20-27

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Keywords

Ore extension, automorphism, derivation, completely primeideal

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