BCYB代数的理想和同构定理

Ideals and Isomorphism Theorems of BCYB Algebras

本文使用一种新的方法引入了BCYB代数的理想的概念,并由此引入了BCYB代数的商代数,进而又定义了BCYB代数的同态、同构、同态的核等术语,最终导出了BCYB代数的第一同构定理和双商定理。

The concept of ideals of BCYB algebras was introduced by a new method. Furthermore, the concept of a homomorphism, isomorphism or kernel of a homomorphic mapping in BCYB algebras was defined. It is aimed at deducing the homomorphism theorem and the first isomorphism theorem of BCYB algebras. Finally was proved the following important conclusion:Theorem 5 Let X be a BCYB algebra. Suppose that A and K are ideals of X and A(?)K, then there exists snch an isomorphism Φ that X/A(?)X/K/A/K.