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6
Properties of Inverses
- If an element
has both a left inverse 
and a right inverse 
, i.e., if 
and 
, then 
, is inveritble, is its inverse - If is invertible, its inverse is unique
- Inverses multiply in the opposite order. If and
are invertible, so is the product 
, and 
. - An element may have a left inverse or a right inverse, though it is not invertible.
Flashcard info:
Author: CoboCards-User
Main topic: Mathematics
Topic: Abstract Algebra
School / Univ.: Rice University
City: Houston
Published: 12.02.2017