Unformatted text preview: is called a semigroup ). Prove that G is a group if and only if for every a,b ∈ G the equations ax = b and ya = b have unique solutions x,y ∈ G . [ Hint: Use the “onesided” theorem proven in class.]...
View
Full
Document
This note was uploaded on 02/29/2012 for the course MATH 3362 taught by Professor Ryandaileda during the Spring '10 term at Trinity University.
 Spring '10
 RyanDaileda
 Algebra

Click to edit the document details