Algebra/Chapter 25/Exercises

Conceptual Questions

Exercises

Section 25.1

Section 25.2

25.1 Assume that * is a binary operation on the set S. Prove the following statements.

Section 25.3

25.2 Let be a group. Prove that the identity element is unique. Also prove that every element has a unique inverse, indicated by .

Section 25.4

Section 25.5

Reason and Apply

Challenge Problems