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Abstract
When R is a local ring with a nilpotent maximal ideal, the Ore extension R[x; σ, δ] will or will not be 2-primal depending on the δ-stability of the maximal ideal of R. In the case where R[x; σ, δ] is 2-primal, it will satisfy an even stronger condition; in the case where R[x; σ, δ] is not 2-primal, it will fail to satisfy an even weaker condition.
ACKNOWLEDGMENTS
Some of the results in this paper appear in my Ph.D. dissertation, written at the University of California at Berkeley under the direction of Prof. T. Y. Lam.
I thank the referee and Prof. G. M. Bergman for their thoughtful recommendations, which substantially improved my exposition. Professor Bergman also pointed out a superfluous hypothesis in an earlier versionof Theorem 3.4.