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Isomorphism

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An isomorphism is a map between mathematical objects such as groups, rings, or fields that is one-to-one, onto, and preserves the properties of the object.

Isomorphism is a college-level concept that would be first encountered in an abstract algebra course.

Prerequisites

Group: A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property.

Classroom Articles on Abstract Algebra (Up to College Level)

  • Abelian Group
  • Group Action
  • Abstract Algebra
  • Group Representation
  • Algebra
  • Group Theory
  • Algebraic Number
  • Ideal
  • Boolean Algebra
  • Normal Subgroup
  • Cyclic Group
  • Quaternion
  • Dihedral Group
  • Ring
  • Field
  • Simple Group
  • Finite Field
  • Subgroup
  • Finite Group
  • Symmetric Group
  • Gaussian Integer
  • Symmetry Group