ON 2-PRIMAL ORE EXTENSIONS

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.