关于N（2，2，0）代数

On N (2, 2, 0) Algebras

本文定义了一种新的（２，２，０）型代数（Ｓ，＊，△，０），简称为Ｎ（２，２，０）代数。研究了它的基本性质；初步探讨了关于△运算幂零和＊运算幂等的Ｎ（２，２，０）代数的特性；证明了；△运算幂零时，（Ｓ，△，０）构成一个结合的ＢＣＩ－代数；＊运算幂等时，（Ｓ，＊，△，０）合一问题是不可判定的．

A new algebra called N(2, 2, 0) algebra is proposed, and its basic properties are discussed. The properties of Δ-operator nilpotent and *──operatof idemoptent play an important role in N(2, 2, 0) algebras. W (S, Δ, 0) is an associative BCI-algebra when Δ is a nilpotent operatior, and the N(2, 2,0)- unification problem is undecidable when * is an idempoten operator.