Study of Weak associated primes Ore extensions

Authors
Masoome Zahiri
Saeideh Zahiri
Higher Education center of Eghlid
Abstract
We introduce the notion of nil δ -weakly rigid rings which is a generalization of reduced rings and δ -compatible rings. I Ouyang introduces the notion of weak associated primes and proved that, there is correspondence one to one between weak associated primes of and , when is δ-compatible and reversible. We extend this result to the more general situation that, when is nil δ -weakly rigid and quasi-IFP. Note that the notions nil δ -weakly rigid and quasi-IFP can be transfer to but this is not true for δ-compatibility and reversibility property.
Keywords
nil δ -weakly rigid rings
Weak associated primes
Differential polynomial rings
Quasi IFP-rings
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