Dual-bimodules and torsion theories
Dual-bimodules and torsion theories
Alin and Dickson have pointed out that the Goldie torsion theory is centrally splitting when the ring is QF .This is also true for a dual ring.More generally, it is shown that if R is semiperfect with soc(_{R}R)^{2} .rad(R) =0, then there exists a 3-fold torsion theory with length 2, …