Additive bijection between module sets.











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This is already been solved, but lacks of what is inteded by additive bijection.
Could someone tell me what is the meaning of the map?



(like how would I read that, in the sense of how is the connection between the remainders and to the module of 6)
(Also, why was $3^{n}$ used?)



The simpler the explanation the better.
Thank you in advance.










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  • Are you asking what "additive bijection" means (it seems to be a rather strange term for group isomorphism here), or for intuition about the particular $T$ defined in the solution?
    – Henning Makholm
    Nov 17 at 18:49










  • Both of those things, there was like no explanation at all.
    – Ricouello
    Nov 17 at 18:55















up vote
0
down vote

favorite












enter image description here



enter image description here



This is already been solved, but lacks of what is inteded by additive bijection.
Could someone tell me what is the meaning of the map?



(like how would I read that, in the sense of how is the connection between the remainders and to the module of 6)
(Also, why was $3^{n}$ used?)



The simpler the explanation the better.
Thank you in advance.










share|cite|improve this question
























  • Are you asking what "additive bijection" means (it seems to be a rather strange term for group isomorphism here), or for intuition about the particular $T$ defined in the solution?
    – Henning Makholm
    Nov 17 at 18:49










  • Both of those things, there was like no explanation at all.
    – Ricouello
    Nov 17 at 18:55













up vote
0
down vote

favorite









up vote
0
down vote

favorite











enter image description here



enter image description here



This is already been solved, but lacks of what is inteded by additive bijection.
Could someone tell me what is the meaning of the map?



(like how would I read that, in the sense of how is the connection between the remainders and to the module of 6)
(Also, why was $3^{n}$ used?)



The simpler the explanation the better.
Thank you in advance.










share|cite|improve this question















enter image description here



enter image description here



This is already been solved, but lacks of what is inteded by additive bijection.
Could someone tell me what is the meaning of the map?



(like how would I read that, in the sense of how is the connection between the remainders and to the module of 6)
(Also, why was $3^{n}$ used?)



The simpler the explanation the better.
Thank you in advance.







abstract-algebra group-theory modular-arithmetic






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 17 at 19:03









Henning Makholm

236k16300534




236k16300534










asked Nov 17 at 18:45









Ricouello

1355




1355












  • Are you asking what "additive bijection" means (it seems to be a rather strange term for group isomorphism here), or for intuition about the particular $T$ defined in the solution?
    – Henning Makholm
    Nov 17 at 18:49










  • Both of those things, there was like no explanation at all.
    – Ricouello
    Nov 17 at 18:55


















  • Are you asking what "additive bijection" means (it seems to be a rather strange term for group isomorphism here), or for intuition about the particular $T$ defined in the solution?
    – Henning Makholm
    Nov 17 at 18:49










  • Both of those things, there was like no explanation at all.
    – Ricouello
    Nov 17 at 18:55
















Are you asking what "additive bijection" means (it seems to be a rather strange term for group isomorphism here), or for intuition about the particular $T$ defined in the solution?
– Henning Makholm
Nov 17 at 18:49




Are you asking what "additive bijection" means (it seems to be a rather strange term for group isomorphism here), or for intuition about the particular $T$ defined in the solution?
– Henning Makholm
Nov 17 at 18:49












Both of those things, there was like no explanation at all.
– Ricouello
Nov 17 at 18:55




Both of those things, there was like no explanation at all.
– Ricouello
Nov 17 at 18:55















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