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.

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Author: CoboCards-User

Main topic: Mathematics

Topic: Abstract Algebra

School / Univ.: Rice University

City: Houston

Published: 12.02.2017

Tags: Ronan Mukamel

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