In this paper, the notion of the radicals of L-subsets and TL-ideals o
f a ring is introduced and studied, where T is an infinitely boolean O
R-distributive t-norm on a given complete Brouwerian lattice L. Our ma
in objective is to present basic properties about the radicals of TL-i
deals in preparation for the forthcoming two papers. (C) 1997 Elsevier
Science B.V.