四元环的同构分类

The Ismorphism Classify of Four-element Rings

根据环的特征定义 ,从四元群的同构分类出发 ,得到四元环的同构分类定理 :在同构的意义下 ,四元环可分为 1 1类 .其中有两个零环 ,一个域 ,且仅有两个非交换环 .

According to the ring′s charactoristic and definiton, from the isomorphism classify of four element ring, by means of composing multiplication table, we get the isomorphism classify theorem of four element rings as following: under the meaning of isomorphism, four element rings can be classified eleven classes, in which there are two zero, one field and only two non commutative rings.