theory of algebras

In this paper,under the condition of L-being a completely distributive lattice,the concepts of L-bi-fuzzy way-bellow relation,L-bi-fuzzy continuous domain,and L-bi-fuzzy algebraic domain are introduced.

本文在L为完全分配格的情况下,定义了L-双模糊逼近关系、L-双模糊连续论域及L-双模糊代数论域的概念,并给出了这些关系的等价刻画,以及L-双模糊逼近关系的一些性质。

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.

基于对模糊逻辑和模糊推理的系统研究 ,一种新的模糊逻辑代数系统———R0 代数已于近期被建立 ,这为模糊逻辑提供了一种新的代数框架。

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

具有平凡零化子的代数分解的唯一性

IS-algebras of generating ring and semi-ring;

可生成环与半环的IS-代数

Decomposition of ideals in IS-algebras;

IS-代数中理想的分解

Chinese remainder theorems in IS-algebras;

IS-代数的中国剩余定理

Local AT-algebras and Their Properties;

局部AT-代数及其性质(英文)

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

讨论具有两个高阶乘法的一类A∞-代数———(2,p,q)-代数。