List of small rings












5












$begingroup$


Where can I find a list of small rings? (like the one Wikipedia has for groups)



(obviously I don't expect it to be as comprehensive given how many rings there can be for certain orders, but if there's a list out there that at least covers a fair few of the easier sizes of a ring to deal with, that'd be great)






abstract-algebra reference-request ring-theory







share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    What you need, Ass, is ringtheory.herokuapp.com
    $endgroup$
    – BananaCats
    Feb 3 at 16:41










  • $begingroup$
    The English Wikipedia aritcle Finite ring has some good pointers to information.
    $endgroup$
    – Somos
    Feb 3 at 17:31


















5












$begingroup$


Where can I find a list of small rings? (like the one Wikipedia has for groups)



(obviously I don't expect it to be as comprehensive given how many rings there can be for certain orders, but if there's a list out there that at least covers a fair few of the easier sizes of a ring to deal with, that'd be great)






abstract-algebra reference-request ring-theory







share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    What you need, Ass, is ringtheory.herokuapp.com
    $endgroup$
    – BananaCats
    Feb 3 at 16:41










  • $begingroup$
    The English Wikipedia aritcle Finite ring has some good pointers to information.
    $endgroup$
    – Somos
    Feb 3 at 17:31
















5












5








5





$begingroup$


Where can I find a list of small rings? (like the one Wikipedia has for groups)



(obviously I don't expect it to be as comprehensive given how many rings there can be for certain orders, but if there's a list out there that at least covers a fair few of the easier sizes of a ring to deal with, that'd be great)






abstract-algebra reference-request ring-theory







share|cite|improve this question









$endgroup$




Where can I find a list of small rings? (like the one Wikipedia has for groups)



(obviously I don't expect it to be as comprehensive given how many rings there can be for certain orders, but if there's a list out there that at least covers a fair few of the easier sizes of a ring to deal with, that'd be great)






abstract-algebra reference-request ring-theory




abstract-algebra reference-request ring-theory






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Feb 3 at 16:18









Cardioid_Ass_22Cardioid_Ass_22

42314




42314








  • 1




    $begingroup$
    What you need, Ass, is ringtheory.herokuapp.com
    $endgroup$
    – BananaCats
    Feb 3 at 16:41










  • $begingroup$
    The English Wikipedia aritcle Finite ring has some good pointers to information.
    $endgroup$
    – Somos
    Feb 3 at 17:31
















  • 1




    $begingroup$
    What you need, Ass, is ringtheory.herokuapp.com
    $endgroup$
    – BananaCats
    Feb 3 at 16:41










  • $begingroup$
    The English Wikipedia aritcle Finite ring has some good pointers to information.
    $endgroup$
    – Somos
    Feb 3 at 17:31










1




1




$begingroup$
What you need, Ass, is ringtheory.herokuapp.com
$endgroup$
– BananaCats
Feb 3 at 16:41




$begingroup$
What you need, Ass, is ringtheory.herokuapp.com
$endgroup$
– BananaCats
Feb 3 at 16:41












$begingroup$
The English Wikipedia aritcle Finite ring has some good pointers to information.
$endgroup$
– Somos
Feb 3 at 17:31






$begingroup$
The English Wikipedia aritcle Finite ring has some good pointers to information.
$endgroup$
– Somos
Feb 3 at 17:31












3 Answers
3






active

oldest

votes


















1












$begingroup$

You might find this interesting, it has some details about `small rings'. Also for enumeration there is a sequence on the OEIS:



https://oeis.org/A037234






share|cite|improve this answer









$endgroup$





















    4












    $begingroup$

    The Database of Ring Theory is very elegantly put together. Is this what you need?



    Rings by cardinality






    share|cite|improve this answer









    $endgroup$









    • 2




      $begingroup$
      This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
      $endgroup$
      – Cardioid_Ass_22
      Feb 3 at 17:41










    • $begingroup$
      Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
      $endgroup$
      – BananaCats
      Feb 3 at 20:31










    • $begingroup$
      @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
      $endgroup$
      – rschwieb
      Feb 4 at 5:16



















    3












    $begingroup$

    You can check out the paper Rings of Small Order by Fletcher, or these notes.






    share|cite|improve this answer









    $endgroup$













      Your Answer





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      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      1












      $begingroup$

      You might find this interesting, it has some details about `small rings'. Also for enumeration there is a sequence on the OEIS:



      https://oeis.org/A037234






      share|cite|improve this answer









      $endgroup$


















        1












        $begingroup$

        You might find this interesting, it has some details about `small rings'. Also for enumeration there is a sequence on the OEIS:



        https://oeis.org/A037234






        share|cite|improve this answer









        $endgroup$
















          1












          1








          1





          $begingroup$

          You might find this interesting, it has some details about `small rings'. Also for enumeration there is a sequence on the OEIS:



          https://oeis.org/A037234






          share|cite|improve this answer









          $endgroup$



          You might find this interesting, it has some details about `small rings'. Also for enumeration there is a sequence on the OEIS:



          https://oeis.org/A037234







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Feb 3 at 18:31









          Sam HughesSam Hughes

          554112




          554112























              4












              $begingroup$

              The Database of Ring Theory is very elegantly put together. Is this what you need?



              Rings by cardinality






              share|cite|improve this answer









              $endgroup$









              • 2




                $begingroup$
                This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
                $endgroup$
                – Cardioid_Ass_22
                Feb 3 at 17:41










              • $begingroup$
                Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
                $endgroup$
                – BananaCats
                Feb 3 at 20:31










              • $begingroup$
                @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
                $endgroup$
                – rschwieb
                Feb 4 at 5:16
















              4












              $begingroup$

              The Database of Ring Theory is very elegantly put together. Is this what you need?



              Rings by cardinality






              share|cite|improve this answer









              $endgroup$









              • 2




                $begingroup$
                This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
                $endgroup$
                – Cardioid_Ass_22
                Feb 3 at 17:41










              • $begingroup$
                Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
                $endgroup$
                – BananaCats
                Feb 3 at 20:31










              • $begingroup$
                @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
                $endgroup$
                – rschwieb
                Feb 4 at 5:16














              4












              4








              4





              $begingroup$

              The Database of Ring Theory is very elegantly put together. Is this what you need?



              Rings by cardinality






              share|cite|improve this answer









              $endgroup$



              The Database of Ring Theory is very elegantly put together. Is this what you need?



              Rings by cardinality







              share|cite|improve this answer












              share|cite|improve this answer



              share|cite|improve this answer










              answered Feb 3 at 16:44









              BananaCatsBananaCats

              9,26252558




              9,26252558








              • 2




                $begingroup$
                This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
                $endgroup$
                – Cardioid_Ass_22
                Feb 3 at 17:41










              • $begingroup$
                Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
                $endgroup$
                – BananaCats
                Feb 3 at 20:31










              • $begingroup$
                @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
                $endgroup$
                – rschwieb
                Feb 4 at 5:16














              • 2




                $begingroup$
                This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
                $endgroup$
                – Cardioid_Ass_22
                Feb 3 at 17:41










              • $begingroup$
                Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
                $endgroup$
                – BananaCats
                Feb 3 at 20:31










              • $begingroup$
                @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
                $endgroup$
                – rschwieb
                Feb 4 at 5:16








              2




              2




              $begingroup$
              This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
              $endgroup$
              – Cardioid_Ass_22
              Feb 3 at 17:41




              $begingroup$
              This is a very cool site but the page you linked to seems to deal mostly with infinite rings. Is there a page on DaRT where you can see lists of (small) finite groups (possibly ordered by cardinality)? (I'm sorry I'm not very savvy with stuff like this)
              $endgroup$
              – Cardioid_Ass_22
              Feb 3 at 17:41












              $begingroup$
              Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
              $endgroup$
              – BananaCats
              Feb 3 at 20:31




              $begingroup$
              Ass, yes, probably. You have to try out their search features. I'm not studying rings right now (probability theory right now myself :)))
              $endgroup$
              – BananaCats
              Feb 3 at 20:31












              $begingroup$
              @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
              $endgroup$
              – rschwieb
              Feb 4 at 5:16




              $begingroup$
              @Cardioid_Ass_22 I would just recommend you use the search feature and specify “finite”. That gets you these results. Unfortunately it is not meant to be an exhaustive list of small rings. Th database strives to store rings which display a wide variety of properties.
              $endgroup$
              – rschwieb
              Feb 4 at 5:16











              3












              $begingroup$

              You can check out the paper Rings of Small Order by Fletcher, or these notes.






              share|cite|improve this answer









              $endgroup$


















                3












                $begingroup$

                You can check out the paper Rings of Small Order by Fletcher, or these notes.






                share|cite|improve this answer









                $endgroup$
















                  3












                  3








                  3





                  $begingroup$

                  You can check out the paper Rings of Small Order by Fletcher, or these notes.






                  share|cite|improve this answer









                  $endgroup$



                  You can check out the paper Rings of Small Order by Fletcher, or these notes.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Feb 3 at 16:42









                  BenBen

                  4,178617




                  4,178617






























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