伪BR_0代数及其性质

Pseudo BR_0-algebras and Their Properties

文章弱化t模的交换条件而提出了一类新逻辑代数-伪BR0代数,它是BR0代数的非交换推广,讨论了伪BR0代数的基本性质,给出了它的等价刻画;并且证明了伪BR0代数类形成一个代数簇,即等式代数类,因而这个代数类关于子代数,同态像以及直积是封闭的。

In this paper, the defination of pseudo BR0 - algebras is introduced. It is a class of pseudo logical algebras through weaking the condition of t - norm. It is a noncommutative generalization of BR0 algebras. Basic characterizations of pseudo BR0 - algebras, and it＇s equivalent description are disscussed in the paper. According to these results, pseudo BR0 algebras form algebraic varietties, i. e. , equation algebraic classes. Hence, this classes of algebras is closed under sub - algebras, homomorphic images and direct products.