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 “one-sided” theorem proven in class.]...
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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