This is a list of possibly nonassociative algebras. An algebra is a module, wherein you can also multiply two module elements. (The multiplication in the module is compatible with multiplication-by-scalars from the base ring).
Akivis algebra
Algebra for a monad
Albert algebra
Alternative algebra
Azumaya algebra
Banach algebra
Birman–Wenzl algebra
Boolean algebra
Borcherds algebra
Brauer algebra
C*-algebra
Central simple algebra
Clifford algebra
Cluster algebra
Dendriform algebra
Differential graded algebra
Differential graded Lie algebra
Exterior algebra
F-algebra
Filtered algebra
Flexible algebra
Freudenthal algebra
Genetic algebra
Geometric algebra
Gerstenhaber algebra
Graded algebra
Griess algebra
Group algebra[disambiguation needed]
Hall algebra
Hecke algebra of a locally compact group
Heyting algebra
Hopf algebra
Hurwitz algebra
Hypercomplex algebra
Incidence algebra
Iwahori–Hecke algebra
Jordan algebra
Kac–Moody algebra
Kleene algebra
Leibniz algebra
Lie algebra
Lie superalgebra
Malcev algebra
Non-associative algebra
Octonion algebra
Pre-Lie algebra
Poisson algebra
Process algebra
Quadratic algebra
Quaternion algebra
Rees algebra
Relation algebra
Relational algebra
Schur algebra
Semisimple algebra
Separable algebra
Shuffle algebra
Sigma-algebra
Simple algebra
Structurable algebra
Supercommutative algebra
Symmetric algebra
Tensor algebra
Universal enveloping algebra
Vertex operator algebra
von Neumann algebra
Zinbiel algebra
This is a list of fields of algebra.
Linear algebra
Homological algebra
Universal algebra
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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