SEMISIMPLE ARTINIAN LOCALIZATIONS RELATED WITH V-RINGS

  • Rim, Seog-Hoon (Department of Mathematics, Teaches College, Kyungpook National University)
  • Published : 1995.10.01

Abstract

For the given torsion theory $\tau$, we study some equivalent conditions when the localized ring $R_\tau$ be semisimple artinian (Theorem 4). Using this, if $R_\tau$ is semisimple artinian ring, we study when does the given ring R become left V-ring?

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