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amistre64
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so what we learned today ....
if a doesnt divide b, but a divides bc; then a divides c.
 2 years ago
 2 years ago
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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amistre64 Group TitleBest ResponseYou've already chosen the best response.3
we also learned that if a divides bc, then a divides bcn ..... 30 minutes of my life gone :/
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
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

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
number theory ... :)
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
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

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
mattrix algebra has quirks in that its .. cant recall. ring, field, group ??
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
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

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
o.o show me the logic!
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
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

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
Zmod12 is a nice example. 2*6=0=3*4
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
No that's not helpful I don't understand zmods lool
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
2*6 mod 12=0 If you understand modular multiplication, it's what you would imagine Zmod12 would be.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
if a not b; the (a,b)=1; therefore 1 = ax+by multiply each side by c c = acx+bcy aacx abcy , it was given in the thrm that abc therefore a  (acx+bcy) a  c
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
all the 0 mod 12s have no recipricals :)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
.... er, no multiplicative inversai
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
I look at wikipedia and see funny symbols. http://en.wikipedia.org/wiki/Modular_arithmetic I quit this party.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
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

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
Well, if it's coprime to 12 it has a multiplicative inverse....
 2 years ago
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