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IMCS/Publications/BASM/Issues/BASM n.3(82), 2016/

On (σ-δ)-rings over Noetherian rings

Authors: Vijay Kumar Bhat, Meeru Abrol, Latif Hanna, Maryam Alkandari

Abstract

For a ring R, an endomorphism σ of R and a σ-derivation δ of R, we introduce (σ-δ)-ring and (σ-δ)-rigid ring which are the generalizations of σ(*)-rings and δ-rings, and investigate their properties. Moreover, we prove that a (σ-δ)-ring is 2-primal and its prime radical is completely semiprime.

Vijay Kumar Bhat, Meeru Abrol
Department of Mathematics
SMVD University, Katra
India-182320

Latif Hanna, Maryam Alkandari
Department of Mathematics
Kuwait University, Kuwait
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