Maximal Torsion Radicals over Rings with Finite Reduced Rank

  • John A. Beachy
  • Published 2001


where `(X) denotes the length of a Q-module X. Let γ denote the torsion radical of R–Mod cogenerated by E(R/N), with the associated quotient functor denoted by Qγ : R–Mod→ R–Mod/γ. If R is left Noetherian, then it follows from a result of Jategaonkar [11, Proposition 1.9] that Qγ(R) has finite length as an object in the quotient category R–Mod/γ. This… (More)