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rareDenise47

  • 3 years ago

Decide whether or not the modulo system forms a group. {0, 1}; multiplication modulo 2

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  1. KingGeorge
    • 3 years ago
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    Before I start, what do you think, and why?

  2. sirm3d
    • 3 years ago
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    there are three parts to test, (i) associativity, (ii) existence of an identity, and (iii) every element has an inverse relative to the given operation

  3. sirm3d
    • 3 years ago
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    now, if you think the modulo system is not a group, which of the three parts (i) associativity, (ii) identity, or (iii) inverse will fail?

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