Additive bijection between module sets.











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












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















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3002675%2fadditive-bijection-between-module-sets%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.





Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


Please pay close attention to the following guidance:


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3002675%2fadditive-bijection-between-module-sets%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

AnyDesk - Fatal Program Failure

How to calibrate 16:9 built-in touch-screen to a 4:3 resolution?

QoS: MAC-Priority for clients behind a repeater