伪环
正式定义
一个个伪环是集合R有两个二元运算(+·),称为“加”和“乘法”。乘法对加法满足分配律:
伪环同态除了要求f(1) = 1被丢弃,就像环同态,伪环同态是f : R → S : 对R中所有x , y 都:
- f(x + y) = f(x) + f(y)
- f(x·y) = f(x)·f(y)
参考文献
- Hall, Frederick Michael. 2. CUP Archive. 1969: 64.
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