8. Midterm 1 and Introduction to Rings

Midterm 1 — Quiz

Test your understanding of midterm 1 with 5 practice questions.

Practice Questions

Question 1

In a group, what do we call an element $e$ such that $ea = ae = a$ for every element $a$?

Question 2

Which set with the usual addition and multiplication is a commutative ring with unity?

Question 3

What is the additive inverse of $7$ in $(\mathbb{Z},+)$?

Question 4

Which statement is true for every subgroup $H$ of a finite group $G$?

Question 5

In $\mathbb{Z}_8$ under addition, what is the order of the element $2$?