International Journal of Mathematics and Mathematical Sciences (Jan 2014)

On the Structures of Abelian π-Regular Rings

  • Jianwei Lu,
  • Liguo He

DOI
https://doi.org/10.1155/2014/842313
Journal volume & issue
Vol. 2014

Abstract

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Assume that R is an Abelian ring. In this paper, we characterize the structure of R whenever R is π-regular. It is also proved that an Abelian π-regular ring is isomorphic to the subdirect sum of some metadivision rings.