theory of algebraic equations

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.

基于對模糊邏輯和模糊推理的系統研究 ,一種新的模糊邏輯代數系統———R0 代數已于近期被建立 ,這為模糊邏輯提供了一種新的代數框架。

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

具有平凡零化子的代數分解的唯一性

IS-algebras of generating ring and semi-ring;

可生成環與半環的IS-代數

Decomposition of ideals in IS-algebras;

IS-代數中理想的分解

Chinese remainder theorems in IS-algebras;

IS-代數的中國剩余定理

Local AT-algebras and Their Properties;

局部AT-代數及其性質(英文)

A special class of A_∞-algebras with two nontrivial higher multiplications,called(2,p,q)-algebras,is studied.

討論具有兩個高階乘法的一類A∞-代數———(2,p,q)-代數。