广义Boolean-like环

Generalized Boolean-like Rings

广义Boolean-like环是Boolean-like环的一个推广,文章主要介绍了广义Boolean-like环的构建,从而列举了若干广义Boolean-like环的相关例子及基本性质.并且,考虑了广义Boolean-like环的部分扩张,如上三角矩阵环.

A generialized Boolean-like ring is a generalization of Boolean-like rings. This paper introduced the structure of generialized Boolean-like rings, listed some related examples of generialized Boolean-like rings and basic properties, and considered the partial expansion of generialized Boolean-like rings, such as upper triangular matrix rings.