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- W2021071573 abstract "A ring R with a derivation δ is called δ-quasi Baer (resp. quasi-Baer), if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent, as a right ideal. We show the left-right symmetry of δ-(quasi) Baer condition and prove that a ring R is δ-quasi Baer if and only if R[x;δ] is quasi Baer if and only if R[x;δ] is -quasi Baer for every extended derivation of δ. When R is a ring with IFP, then R is δ-Baer if and only if R[x;δ] is Baer if and only if R[x;δ] is -Baer for every extended derivation of δ. A rich source of examples for δ-(quasi) Baer rings is provided." @default.
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- W2021071573 date "2008-09-17" @default.
- W2021071573 modified "2023-09-24" @default.
- W2021071573 title "Baer and Quasi-Baer Differential Polynomial Rings" @default.
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- W2021071573 doi "https://doi.org/10.1080/00927870802104337" @default.
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