LOWER RADICALS OF Γ-RINGS

  • Le Roux, H.J.
  • Published : 1987.12.20

Abstract

In this note we introduce the concept of a lower radical for ${\Gamma}$-rings. As an application we also characterise the prime radical introduced by Barnes [1] as a lower radical. Furthermore it is shown that the prime radical can also be determined by the class of all semiprime ${\Gamma}$-rings.

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