# Algebras

AlgebrasOverview, creation, substructures and general operations on algebras.

[Algebras](IntroductionToAlgebras/index-introduction-to-algebras.md)Structure Constant AlgebrasAlgebras defined by structure constants.

[Structure Constant Algebras](StructureConstantAlgebras/index-structure-constant-algebras.md)Associative AlgebrasStructure, subalgebras, ideals and the Jacobson radical.

[Associative Algebras](AssociativeAlgebras/index-associative-algebras.md)Finitely Presented AlgebrasAlgebras given by generators and relations.

[Finitely Presented Algebras](FinitelyPresentedAlgebras/index-finitely-presented-algebras.md)Matrix AlgebrasMatrix algebras: creation, substructures and extensions.

[Matrix Algebras](MatrixAlgebras/index-matrix-algebras.md)Group AlgebrasGroup algebras: creation, substructures and element operations.

[Group Algebras](GroupAlgebras/index-group-algebras.md)Basic AlgebrasBasic algebras, gradings, idempotents and their homomorphisms.

[Basic Algebras](BasicAlgebras/index-basic-algebras.md)Quaternion AlgebrasQuaternion algebra constructors, maximal orders and splitting.

[Quaternion Algebras](QuaternionAlgebras/index-quaternion-algebras.md)Algebras with InvolutionStar algebras, involutions and their decompositions.

[Algebras with Involution](AlgebrasWithInvolution/index-algebras-with-involution.md)Clifford AlgebrasClifford algebras, involutions and spin groups.

[Clifford Algebras](CliffordAlgebras/index-clifford-algebras.md)Non-associative AlgebrasJordan algebras, alternative algebras and octonions.

[Non–Associative Algebras](NonAssociativeAlgebras/index-non-associative-algebras.md)