E.g for the group (Z, +): f Z->Z f(x) = -x is a homomorphism (easy to prove), it’s a bijection so it is an isomorphism and it is a function from Z to Z so it is an automorphism
hey girl, you dont know what you are talking about right? In your example, the right side is a group with respect to multiplication.....take a class on abstract algebra please
@3:24 is not a group. "0" must be excluded, as it has no inverse when binary operation is multiplication.
@4:46 , by using which property you have done that....please explain
Why is she wrong at 3:24?!!!!! Someone explain!
People's competencies are so varied. I came to the comments to praise your selection of examples, only to encounter complaints...about your examples.
what are the element of Z0?
Please give defn. of Automorphism .
An isomorphism from a group to itself
E.g for the group (Z, +): f Z->Z f(x) = -x is a homomorphism (easy to prove), it’s a bijection so it is an isomorphism and it is a function from Z to Z so it is an automorphism
theory well explained. examples should be explained more clearly...
Explain concepts deeply
thanks!
Thanks a lot 🙂
How is she wrong?!
tnx helps a lot
Please focus on why are we doing not how are we doing..!
Sss
hey girl, you dont know what you are talking about right? In your example, the right side is a group with respect to multiplication.....take a class on abstract algebra please
she's wrong but why are you so mad lmao