Hwang, Seo-Un;Lee, Yang;Park, Kwang-Sug

  • Received : 2007.08.08
  • Published : 2007.12.25


We first find strongly 2-primal rings whose sub direct product is not (strongly) 2-primal. Moreover we observe some kinds of ring extensions of (strongly) 2-primal rings. As an example we show that if R is a ring and M is a multiplicative monoid in R consisting of central regular elements, then R is strongly 2-primal if and only if so is $RM^{-1}$. Various properties of (strongly) 2-primal rings are also studied.


(strongly) 2-primal ring;prime radical;sub direct product;ring extension


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