Abstract

Abstract In [25, 27], we put forward a rudimentary frame of the theory of TL -subalgebras. In [26], we established a theory of TL -subgroups and Ω- 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 ∨-distributive t-norm on a given complete Brouwerian lattice L .

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