Ring of formal power series in Macaulay2












0














How does one define the ring $mathbb{C}[[x,y]]$ of formal power series in two variables over $mathbb{C}$ in Macaulay2? Or Singular? I have seen some papers that claim to perform calculations in Macaulay2 with modules over formal power series rings, but they do not explain how.










share|cite|improve this question
























  • This seems to give code for Singular.
    – Mark
    May 17 '17 at 2:23










  • @Mark I can't really glean much from the link you suggested. Where is the Singular code on that webpage? Thanks!
    – Ashvin Swaminathan
    May 17 '17 at 2:24
















0














How does one define the ring $mathbb{C}[[x,y]]$ of formal power series in two variables over $mathbb{C}$ in Macaulay2? Or Singular? I have seen some papers that claim to perform calculations in Macaulay2 with modules over formal power series rings, but they do not explain how.










share|cite|improve this question
























  • This seems to give code for Singular.
    – Mark
    May 17 '17 at 2:23










  • @Mark I can't really glean much from the link you suggested. Where is the Singular code on that webpage? Thanks!
    – Ashvin Swaminathan
    May 17 '17 at 2:24














0












0








0







How does one define the ring $mathbb{C}[[x,y]]$ of formal power series in two variables over $mathbb{C}$ in Macaulay2? Or Singular? I have seen some papers that claim to perform calculations in Macaulay2 with modules over formal power series rings, but they do not explain how.










share|cite|improve this question















How does one define the ring $mathbb{C}[[x,y]]$ of formal power series in two variables over $mathbb{C}$ in Macaulay2? Or Singular? I have seen some papers that claim to perform calculations in Macaulay2 with modules over formal power series rings, but they do not explain how.







power-series computer-algebra-systems formal-power-series macaulay2






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 8 at 23:36









Rodrigo de Azevedo

12.8k41855




12.8k41855










asked May 17 '17 at 2:09









Ashvin Swaminathan

1,544520




1,544520












  • This seems to give code for Singular.
    – Mark
    May 17 '17 at 2:23










  • @Mark I can't really glean much from the link you suggested. Where is the Singular code on that webpage? Thanks!
    – Ashvin Swaminathan
    May 17 '17 at 2:24


















  • This seems to give code for Singular.
    – Mark
    May 17 '17 at 2:23










  • @Mark I can't really glean much from the link you suggested. Where is the Singular code on that webpage? Thanks!
    – Ashvin Swaminathan
    May 17 '17 at 2:24
















This seems to give code for Singular.
– Mark
May 17 '17 at 2:23




This seems to give code for Singular.
– Mark
May 17 '17 at 2:23












@Mark I can't really glean much from the link you suggested. Where is the Singular code on that webpage? Thanks!
– Ashvin Swaminathan
May 17 '17 at 2:24




@Mark I can't really glean much from the link you suggested. Where is the Singular code on that webpage? Thanks!
– Ashvin Swaminathan
May 17 '17 at 2:24










1 Answer
1






active

oldest

votes


















1














@Ashwin,



As mentioned by David Eisenbud on the Mark's link, Singular is optimised for local ordering.



In Singular you can define something called as local ordering. For example, the following Singular code might help you:



ring r = 0, (x,y,z), ds;



For more details and examples, have a look at Singular help.



Hope this helps!



-- Mike






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',
    autoActivateHeartbeat: false,
    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%2f2284401%2fring-of-formal-power-series-in-macaulay2%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









    1














    @Ashwin,



    As mentioned by David Eisenbud on the Mark's link, Singular is optimised for local ordering.



    In Singular you can define something called as local ordering. For example, the following Singular code might help you:



    ring r = 0, (x,y,z), ds;



    For more details and examples, have a look at Singular help.



    Hope this helps!



    -- Mike






    share|cite|improve this answer


























      1














      @Ashwin,



      As mentioned by David Eisenbud on the Mark's link, Singular is optimised for local ordering.



      In Singular you can define something called as local ordering. For example, the following Singular code might help you:



      ring r = 0, (x,y,z), ds;



      For more details and examples, have a look at Singular help.



      Hope this helps!



      -- Mike






      share|cite|improve this answer
























        1












        1








        1






        @Ashwin,



        As mentioned by David Eisenbud on the Mark's link, Singular is optimised for local ordering.



        In Singular you can define something called as local ordering. For example, the following Singular code might help you:



        ring r = 0, (x,y,z), ds;



        For more details and examples, have a look at Singular help.



        Hope this helps!



        -- Mike






        share|cite|improve this answer












        @Ashwin,



        As mentioned by David Eisenbud on the Mark's link, Singular is optimised for local ordering.



        In Singular you can define something called as local ordering. For example, the following Singular code might help you:



        ring r = 0, (x,y,z), ds;



        For more details and examples, have a look at Singular help.



        Hope this helps!



        -- Mike







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Jun 12 '17 at 20:22









        Mike V.D.C.

        327112




        327112






























            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%2f2284401%2fring-of-formal-power-series-in-macaulay2%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

            Cabo Verde

            Gyllenstierna

            Albrecht Dürer