Prerequisites for Rotman's Introduction to Homological Algebra











up vote
1
down vote

favorite












I was curious as to what the proper prerequisites would be to be able to properly read through Rotman's text "An Introduction to Homological Algebra". I'm wondering if Module theory is part of the prerequisites. Also considering the length of Rotman's Text what chapters would be the best to cover to get to homology theory and Ext and Tor?






reference-request homological-algebra







share|cite|improve this question
























  • I'm not familiar with that particular book but I can't imagine that the basics of module theory would not be prerequisites.
    – Eric Wofsey
    2 days ago










  • Hm, well, the book itself seems pretty clear on the topic. The first lines of chapter 2 (entitled "Modules") say: We assume that much of this section is familiar to most readers, and so our account is written to refresh one's memory." So... read that and you'll know what you need to go learn.
    – rschwieb
    2 days ago










  • I don't have the book but I think the Dummit and Foote sections on modules and homological algebra are a good starting point/reference.
    – cocoahomology
    2 days ago















up vote
1
down vote

favorite












I was curious as to what the proper prerequisites would be to be able to properly read through Rotman's text "An Introduction to Homological Algebra". I'm wondering if Module theory is part of the prerequisites. Also considering the length of Rotman's Text what chapters would be the best to cover to get to homology theory and Ext and Tor?






reference-request homological-algebra







share|cite|improve this question
























  • I'm not familiar with that particular book but I can't imagine that the basics of module theory would not be prerequisites.
    – Eric Wofsey
    2 days ago










  • Hm, well, the book itself seems pretty clear on the topic. The first lines of chapter 2 (entitled "Modules") say: We assume that much of this section is familiar to most readers, and so our account is written to refresh one's memory." So... read that and you'll know what you need to go learn.
    – rschwieb
    2 days ago










  • I don't have the book but I think the Dummit and Foote sections on modules and homological algebra are a good starting point/reference.
    – cocoahomology
    2 days ago













up vote
1
down vote

favorite









up vote
1
down vote

favorite











I was curious as to what the proper prerequisites would be to be able to properly read through Rotman's text "An Introduction to Homological Algebra". I'm wondering if Module theory is part of the prerequisites. Also considering the length of Rotman's Text what chapters would be the best to cover to get to homology theory and Ext and Tor?






reference-request homological-algebra







share|cite|improve this question















I was curious as to what the proper prerequisites would be to be able to properly read through Rotman's text "An Introduction to Homological Algebra". I'm wondering if Module theory is part of the prerequisites. Also considering the length of Rotman's Text what chapters would be the best to cover to get to homology theory and Ext and Tor?






reference-request homological-algebra




reference-request homological-algebra






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 days ago

























asked 2 days ago









Alexander King

493411




493411












  • I'm not familiar with that particular book but I can't imagine that the basics of module theory would not be prerequisites.
    – Eric Wofsey
    2 days ago










  • Hm, well, the book itself seems pretty clear on the topic. The first lines of chapter 2 (entitled "Modules") say: We assume that much of this section is familiar to most readers, and so our account is written to refresh one's memory." So... read that and you'll know what you need to go learn.
    – rschwieb
    2 days ago










  • I don't have the book but I think the Dummit and Foote sections on modules and homological algebra are a good starting point/reference.
    – cocoahomology
    2 days ago


















  • I'm not familiar with that particular book but I can't imagine that the basics of module theory would not be prerequisites.
    – Eric Wofsey
    2 days ago










  • Hm, well, the book itself seems pretty clear on the topic. The first lines of chapter 2 (entitled "Modules") say: We assume that much of this section is familiar to most readers, and so our account is written to refresh one's memory." So... read that and you'll know what you need to go learn.
    – rschwieb
    2 days ago










  • I don't have the book but I think the Dummit and Foote sections on modules and homological algebra are a good starting point/reference.
    – cocoahomology
    2 days ago
















I'm not familiar with that particular book but I can't imagine that the basics of module theory would not be prerequisites.
– Eric Wofsey
2 days ago




I'm not familiar with that particular book but I can't imagine that the basics of module theory would not be prerequisites.
– Eric Wofsey
2 days ago












Hm, well, the book itself seems pretty clear on the topic. The first lines of chapter 2 (entitled "Modules") say: We assume that much of this section is familiar to most readers, and so our account is written to refresh one's memory." So... read that and you'll know what you need to go learn.
– rschwieb
2 days ago




Hm, well, the book itself seems pretty clear on the topic. The first lines of chapter 2 (entitled "Modules") say: We assume that much of this section is familiar to most readers, and so our account is written to refresh one's memory." So... read that and you'll know what you need to go learn.
– rschwieb
2 days ago












I don't have the book but I think the Dummit and Foote sections on modules and homological algebra are a good starting point/reference.
– cocoahomology
2 days ago




I don't have the book but I think the Dummit and Foote sections on modules and homological algebra are a good starting point/reference.
– cocoahomology
2 days ago










1 Answer
1






active

oldest

votes

















up vote
1
down vote













Just fetched the first edition (hardbound, 1979) off the shelf:
On the fourth page (out of 376) you will find "Recall that a left $R$-module is an ...", furthermore the first section in Chapter 2 is entitled "Modules". Thus modules are not supposed to be prerequisites.



J. J. Rotman explicitly addresses the fastest way towards Homology in "How to read this book" (this section is contained in the second edition of the book), namely skipping chapters 2 to 5, but he does not recommend it.
A sort of triple jump touching chapter 1, chapter 2, and the projective and injective ingredients in chapter 3 may be a satisfactory path for you.






share|cite|improve this answer





















    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%2f3005567%2fprerequisites-for-rotmans-introduction-to-homological-algebra%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote













    Just fetched the first edition (hardbound, 1979) off the shelf:
    On the fourth page (out of 376) you will find "Recall that a left $R$-module is an ...", furthermore the first section in Chapter 2 is entitled "Modules". Thus modules are not supposed to be prerequisites.



    J. J. Rotman explicitly addresses the fastest way towards Homology in "How to read this book" (this section is contained in the second edition of the book), namely skipping chapters 2 to 5, but he does not recommend it.
    A sort of triple jump touching chapter 1, chapter 2, and the projective and injective ingredients in chapter 3 may be a satisfactory path for you.






    share|cite|improve this answer

























      up vote
      1
      down vote













      Just fetched the first edition (hardbound, 1979) off the shelf:
      On the fourth page (out of 376) you will find "Recall that a left $R$-module is an ...", furthermore the first section in Chapter 2 is entitled "Modules". Thus modules are not supposed to be prerequisites.



      J. J. Rotman explicitly addresses the fastest way towards Homology in "How to read this book" (this section is contained in the second edition of the book), namely skipping chapters 2 to 5, but he does not recommend it.
      A sort of triple jump touching chapter 1, chapter 2, and the projective and injective ingredients in chapter 3 may be a satisfactory path for you.






      share|cite|improve this answer























        up vote
        1
        down vote










        up vote
        1
        down vote









        Just fetched the first edition (hardbound, 1979) off the shelf:
        On the fourth page (out of 376) you will find "Recall that a left $R$-module is an ...", furthermore the first section in Chapter 2 is entitled "Modules". Thus modules are not supposed to be prerequisites.



        J. J. Rotman explicitly addresses the fastest way towards Homology in "How to read this book" (this section is contained in the second edition of the book), namely skipping chapters 2 to 5, but he does not recommend it.
        A sort of triple jump touching chapter 1, chapter 2, and the projective and injective ingredients in chapter 3 may be a satisfactory path for you.






        share|cite|improve this answer












        Just fetched the first edition (hardbound, 1979) off the shelf:
        On the fourth page (out of 376) you will find "Recall that a left $R$-module is an ...", furthermore the first section in Chapter 2 is entitled "Modules". Thus modules are not supposed to be prerequisites.



        J. J. Rotman explicitly addresses the fastest way towards Homology in "How to read this book" (this section is contained in the second edition of the book), namely skipping chapters 2 to 5, but he does not recommend it.
        A sort of triple jump touching chapter 1, chapter 2, and the projective and injective ingredients in chapter 3 may be a satisfactory path for you.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 2 days ago









        Hanno

        1,829424




        1,829424






























             

            draft saved


            draft discarded



















































             


            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005567%2fprerequisites-for-rotmans-introduction-to-homological-algebra%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

            MongoDB - Not Authorized To Execute Command

            Image
            .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ height:90px;width:728px;box-sizing:border-box; } 0 I have successfully enabled authorization on MongoDB and I have created an account on the admin database and then I created an account for my database called test. The following connection string to connect to my test database works successfully: mongo --host 192.168.17.52 --port 27017 -u user1 -p password --authenticationDatabase test Only problem I have now is, I cannot execute commands such as: show dbs. I get the following error when I try to do so: "errmsg" : "not authorized on admin to execute command { listDatabases: 1.0, lsid: { id: UUID("a1d5bc0d-bc58-485e-b232-270758a89455") }, $db: "admin...
            Read more

            How to fix TextFormField cause rebuild widget in Flutter

            Image
            .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ height:90px;width:728px;box-sizing:border-box; } 0 I've got the same issue at #9280. I tried all solutions from that topic with/without GlobalKey for Scaffold and Form but the problem wasn't fixed. I tried to build a authentication form with login and signup. But the keyboard doesn't show when I tap the TextFormField at the first time. Then I try to input some letter from physical keyboard, the widget is rebuilt. Like this: login screen Nothing to be log when I run flutter run --verbose, so I logged manually. Every tapping on field, the widget called dispose -> init -> build. [√] Flutter (Channel beta, v1.0.0, on Microsoft Windows [Version 10.0.17763.195], ...
            Read more

            in spring boot 2.1 many test slices are not allowed anymore due to multiple @BootstrapWith

            Image
            1 I tried to upgrade a yummy sandwich made of two test slices (@JsonTest and @JdbcTest in my case, crunchy test code in between) adding spring boot 2.1 flavour to it. But it seems it was not much of a success. I cannot annotate my tests with many @...Test since they are now each bringing their own XxxTestContextBootstrapper. It used to work when they all used same SpringBootTestContextBootstrapper. @RunWith(SpringRunner.class) @JdbcTest @JsonTest public class Test { @Test public void test() { System.out.printn("Hello, World !"); } } The error I get from BootstrapUtils is illegalStateException : Configuration error: found multiple declarations of @BootstrapWith for test class I understand I might be doing something wrong here but is there an easy way I could load both Json and Jdbc contex...
            Read more