In [25, 27], we put forward a rudimentary frame of the theory of TL-su
balgebras. In [26], we established a theory of TL-subgroups and OMEGA-
TL-subgroups. In this paper, we will continue our work in concern with
basic ideas provided in [25-27], introduce the notions of TL-subrings
and TL-ideals of a ring, and study some of their properties, where T
is an arbitrary infinitely v-distributive t-norm on a given complete B
rouwerian lattice L.