Biology, asked by babbu3994, 1 year ago

Describe all ring homomorphisms from z to zxz and from zxz to z

Answers

Answered by prateekpandey31
0
be a ring homomorphism of  into  . Since  ,  is determined by the values of  and  . Suppose that  . By the homomorphism property



, you have  , and hence  and  . It follows that and  . So, the value of  is one of the elements  ,  ,  , or  . Likewise, the value of  is also one of the elements  ,  ,  , or  .

Similar questions