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In this note, it is sliown that for several classes of lattice-ordered rings, the ^-radical L(A) and the prime radical P(A) coincide and that A modmlo the ^-radical is an /-ring. in particular, this is true for the class of positive square rings satisfying the identity α+&_ = 0.doi:10.2140/pjm.1974.54.257 fatcat:omk4ogvs3zey3jkfsz3e5asgpu