On weak (σ, δ)-rigid rings over Noetherian rings

Let R be a Noetherian integral domain which is also an algebra over ℚ (ℚ is the field of rational numbers). Let σ be an endo-morphism of R and δ a σ-derivation of R. We recall that a ring R is a weak (σ, δ)-rigid ring if a(σ(a)+ δ(a)) ∈ N(R) if and only if a ∈ N(R) for a ∈ R (N(R) is the set of nilp...

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Bibliographic Details
Main Authors: Bhat Vijay Kumar, Singh Pradeep, Sharma Sunny
Format: Article
Language:English
Published: Sciendo 2020-07-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.2478/ausm-2020-0001