List questions from epimorphisms | MathQA

Find all homomorphisms from $(\mathbb{Z}_8,+)$ into $(\mathbb{Z}_6,+)$.

Published on 11 Dec 2022 - 13:28

Find the set of all homomorphisms from $(\mathbb{Z},+)$ onto $(\mathbb{Z}_6,+)$.

Published on 15 Dec 2022 - 5:46

Monomorphisms and epimorphisms in abelian categories

Published on 26 Dec 2022 - 6:48

Show that $(\Bbb Z, +)$ and $(\Bbb R, +)$ are not isomorphic groups .

Published on 05 Jan 2023 - 10:40

Show that $(\Bbb Q, +)$ and $(\Bbb R, +)$ are not isomorphic groups.

Published on 05 Jan 2023 - 12:31

Let $H$ be a normal of order $6$. If $f :G\to G_1$ be an epimorphism of groups s.t. $H\subset{\rm Ker}(f)$, then show $G_1$ is a hom. image of $G/H$.

Published on 07 Jan 2023 - 7:21