Based on a systematic research on fuzzy logic and fuzzy reasoning, a new kind of algebraic systems-R 0 algebras have been established recently, providing a new algebraic basis for fuzzy logic.

The uniqueness of the decomposition of an algebra with trivial annihilator;

IS-algebras of generating ring and semi-ring;

Decomposition of ideals in IS-algebras;

Chinese remainder theorems in IS-algebras;

Local AT-algebras and Their Properties;