James McGuigan
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Mathematics
Abstract Algebra
Groups vs. Rings
Group Theory
00 - List of Proofs
01 - Uniqueness of the Identity Element
02- Uniqueness of the Inverse Element
03 - The Inverse of the Inverse is the Original Element
04 - The Inverse of a Product is the Reverse Product of Inverses
05 - Left and Right Inverses Are the Same
06 - Cancellation Laws
08 - Inverses Cancel to the Identity
09 - An Action as its Own Undoing: Identity and Inverse
10 - Undoing Actions by Counting Cycles
11 - Groups have Unique Solutions
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Key Terms in Mathematical Proofs
Onto Surjective Functions
Complex Reciprocal Proof
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Groups vs. Rings
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