RE: Random Thoughts
August 24, 2018 at 9:50 pm
(This post was last modified: August 24, 2018 at 9:52 pm by Kernel Sohcahtoa.)
I'm currently brushing up on homomorphisms in my abstract algebra studies: IMO, homomorphisms are pretty neat. I must admit that I have a greater appreciation for them now than when I first encountered them a couple of years ago: the extra time that I spent teaching myself proofs has been worth it. I'm also enjoying how one to one and onto functions tie into homomorphisms: an epimorphism is a homomorphism that is onto, a monomorphism is a homomorphism that is one to one, and an isomorphism is a homomorphism that is one to one and onto.