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Properties of (σ, δ)-Rings

Journal: International Research Journal of Advanced Engineering and Science (IRJAES) (Vol.2, No. 2)

Publication Date:

Authors : ;

Page : 28-30

Keywords : ;

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Abstract

For a ring R, an automorphism σ of R and δ a σ-derivation 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 for a (σ, δ)-ring R, the prime radical is completely semi-prime.

Last modified: 2017-04-24 21:13:13