Boole环的推广  

A Generalization of Boolean Ring

作　　者：马彪[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2013年第1期61-64,69,共5页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：杭州师范大学创新种子基金

摘　　要：定义了弱Boole环,并在第一部分考虑了弱Boole环的一些基本性质,如特征和交换性.第二部分研究弱Boole环的理想,主要是素理想、极大理想和有限生成理想,并证明了有限弱Boole环是有限Boole环与Z3的直和.最后,给出了弱Boole环的一些扩张.This paper defined weakly Boolean ring and considered some elementary properties of weakly Boolean ring, studied ideals of weakly Boolean rings, especially prime, maximal and finitely generated ideals, and proved that a finite weakly Boolean ring is a direct sum of a finite Boolean ring and Z3. Finally, some extensions of weakly Boolean rings were provided.

关 键 词：Boole环 弱Boole环 幂等元 

分 类 号：O153.3[理学—数学]