Exploring Abstract Algebra with WebMathematica

EAAM web page

Al Hibbard, Central College and Ken Levasseur, UMass Lowell

Form a Groupoid

Enter a list of elements and an operation on the elements in the form of a pure function; then check the properties that the resulting Groupoid has.

  • Elements:
  • Operation (in the form of a "pure function" ):

Your Groupoid and its Cayley table





Closure



Commutivity





Identity





Associativity





Inverses

Elements are connected with red lines to their inverse. No red line indicates that the element has no inverse.


Summary of information

Created by webMathematica

Ken Levasseur
Mathematical Sciences
UMass Lowell
Kenneth_Levasseur@uml.edu
Ken's WebMathematica Scripts

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