Topology

In this paper, a computing principle about the cardinality of semi-algebraic set is given by using Tarski s Principle.

给出半代数集基数的计数原理和不可约紧代数流形上Ｅｕｌｅｒ示性数及亏格的算法。

In this paper , we define the piecewise algebraic sets by using multivariatespline functions and discuss their irreducibility and isomorphism problem.

本文利用多元样条函数来定义分片代数集合,讨论了分片代数集合的不可约性和同构问题,给出了分片代数集合不可约的两个等价条件,并把分片代数集合的同构分类问题转化为交换代数的同构分类问题。

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