List of algebraic constructions

An algebraic construction is a method by which an algebraic entity is defined or derived from another.

Instances include:


 * Cayley–Dickson construction
 * Proj construction
 * Grothendieck group
 * Gelfand–Naimark–Segal construction
 * Ultraproduct
 * ADHM construction
 * Burnside ring
 * Simplicial set
 * Fox derivative
 * Mapping cone (homological algebra)
 * Prym variety
 * Todd class
 * Adjunction (field theory)
 * Vaughan Jones construction
 * Strähle construction
 * Coset construction
 * Plus construction
 * Algebraic K-theory
 * Gelfand–Naimark–Segal construction
 * Stanley–Reisner ring construction
 * Quotient ring construction
 * Ward's twistor construction
 * Hilbert symbol
 * Hilbert's arithmetic of ends
 * Colombeau's construction
 * Vector bundle
 * Integral monoid ring construction
 * Integral group ring construction
 * Category of Eilenberg–Moore algebras
 * Kleisli category
 * Adjunction (field theory)
 * Lindenbaum–Tarski algebra construction
 * Freudenthal magic square
 * Stone–Čech compactification