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A category is an abstract mathematical object that generalizes the ideas of maps and commutative diagrams.

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

Prerequisites

Module: A module is a generalization of a vector space in which the scalars form a ring rather than a field.
Ring: In mathematics, a ring is an Abelian group together with a rule for multiplying its elements.

Classroom Articles on Abstract Algebra (Up to Graduate Level)

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