Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 0.1 Exercise 0.1.7 Let $f : A \rightarrow B$ be a surjective map of sets. Prove that the relation…
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 0.1 Exercise 0.1.6 Determine whether the function $f : \mathbb{R}^+ \rightarrow \mathbb{Z}$ given by mapping a real number $r$…
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 0.1 Exercise 0.1.5 Determine whether the following functions are well defined. $f : \mathbb{Q} \rightarrow \mathbb{Z}$ given by $f(a/b)…