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amistre64 Group Title

so what we learned today .... if a doesnt divide b, but a divides bc; then a divides c.

  • 2 years ago
  • 2 years ago

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  1. amistre64 Group Title
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    we also learned that if a divides bc, then a divides bcn ..... 30 minutes of my life gone :/

    • 2 years ago
  2. KingGeorge Group Title
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    Believe it or not, that's not inherently obvious. Depending on what structures you're using, if a doesn't divide b, but a does divide bc, it doesn't necessarily divide c.

    • 2 years ago
  3. amistre64 Group Title
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    number theory ... :)

    • 2 years ago
  4. inkyvoyd Group Title
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    I'ma delete this shortly afterward, but can anyone help me http://openstudy.com/study#/updates/5064b1f2e4b0583d5cd3facc Also, does that apply for matrix algebra?

    • 2 years ago
  5. amistre64 Group Title
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    mattrix algebra has quirks in that its .. cant recall. ring, field, group ??

    • 2 years ago
  6. KingGeorge Group Title
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    Number theory is an easy example, but you can define a ring with zero divisors, and suddenly, if ab=0, then neither a nor b must be 0.

    • 2 years ago
  7. inkyvoyd Group Title
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    o.o show me the logic!

    • 2 years ago
  8. amistre64 Group Title
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    teacher did show us at the begining of the year about her thesis work on abstract algebra and made us write up Zmod 12 tables for addition and multiplication

    • 2 years ago
  9. KingGeorge Group Title
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    Zmod12 is a nice example. 2*6=0=3*4

    • 2 years ago
  10. inkyvoyd Group Title
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    No that's not helpful I don't understand zmods lool

    • 2 years ago
  11. KingGeorge Group Title
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    2*6 mod 12=0 If you understand modular multiplication, it's what you would imagine Zmod12 would be.

    • 2 years ago
  12. amistre64 Group Title
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    if a not| b; the (a,b)=1; therefore 1 = ax+by multiply each side by c c = acx+bcy a|acx a|bcy , it was given in the thrm that a|bc therefore a | (acx+bcy) a | c

    • 2 years ago
  13. amistre64 Group Title
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    all the 0 mod 12s have no recipricals :)

    • 2 years ago
  14. amistre64 Group Title
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    .... er, no multiplicative inversai

    • 2 years ago
  15. inkyvoyd Group Title
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    I look at wikipedia and see funny symbols. http://en.wikipedia.org/wiki/Modular_arithmetic I quit this party.

    • 2 years ago
  16. amistre64 Group Title
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    There must be some way out of here, said the joker to the thief. There's too much confusion ... I can't get no relief

    • 2 years ago
  17. KingGeorge Group Title
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    Well, if it's coprime to 12 it has a multiplicative inverse....

    • 2 years ago
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is replying to Can someone tell me what button the professor is hitting...

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