关于幂等代数族中的根类

On the Radical Classes in the Variety of Idempotent Algebras

Barry Gardner在幂等代数族中定义了根类和半单类,并且证明了许多在结合环族中成立的结果在同余可换族中也成立。他还给出了一些幂等代数族中的根类的例子。在本文中,我们继续考虑由Barry定义的根类。

Barry Gardner defined the radical classes and semi-simple classes in the variety of idempotent algebras. And most traditional results in the variety of associative rings hold in the varieties with permutable congruences. He also gave some examples of radical classes in the variety of idempotent algebras. In this paper, we continue to consider the radical classes defined by Barry and get some further