On (σ, δ)(S, 1) rings and their extensions

Let R be a ring, σ an endomorphism of R and δ a σ derivation of R. We recall that R is called an (S, 1)-ring if for a, b _ R, ab = 0 implies aRb = 0. We involve σ and δ to generalize this notion and say that R is a (σ, δ) - (S, 1) ring if for a, b _ R, ab = 0 implies aRb = 0, σ(a)Rb = 0, aR_(b) = 0...

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Bibliographic Details
Main Author: Bhat Kumar Vijay
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia 2017-01-01
Series:Mathematica Moravica
Subjects:
Online Access:http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2017/1450-59321701061B.pdf