Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON STRONGLY 2-PRIMAL RINGS

  • Hwang, Seo-Un (Department of Mathematics, Busan National University) ;
  • Lee, Yang (Department of Mathematics Education, Busan National University) ;
  • Park, Kwang-Sug (Department of Mathematics, Busan National University)
  • Received : 2007.08.08
  • Published : 2007.12.25
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Abstract

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.

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References

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