7 lines
441 B
Markdown
7 lines
441 B
Markdown
Groups are Closures that have the following properties:
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1. **closure**: Every element which is a result of the binary operation of the group is part of the group
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2. **associativity**: changing the order of operations doesn't change the result
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3. **identity**: there is a neutral element ($0$ in addition, $1$ in multiplication)
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4. **inverses**: every element has a element when combined results in the identity element ($+5 + (-5) = 0$)
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