List of algebras: Difference between revisions

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Latest revision as of 14:20, 21 November 2024

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).

This is a list of fields of algebra.

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+{{short description|None}}
-This is a list of possibly [[nonassociative algebra]]s.
+This is a list of possibly [[nonassociative algebra]]s. An algebra is a [[module (mathematics)|module]], wherein you can also [[tensor product|multiply]] two module elements. (The multiplication in the module is compatible with multiplication-by-scalars from the base [[ring (mathematics)|ring]]).
+* [[*-algebra]]
+* [[Affine Lie algebra]]
+* [[Akivis algebra]]
+* [[Monad (category theory)#Algebras for a monad|Algebra for a monad]]
 * [[Albert algebra]]
-* [[Algebra of sets]]
+* [[Alternative algebra]]
+* [[AW*-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]]
+* [[Functional-theoretic algebra]]
+* [[Genetic algebra]]
 * [[Geometric algebra]]
+* [[Gerstenhaber algebra]]
 * [[Graded algebra]]
-* [[Group algebra]]
+* [[Griess algebra]]
-* [[Hecke algebra]]
+* [[Group ring|Group algebra]]
+* [[Group algebra of a locally compact group]]
+* [[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]]
+* [[Matrix algebra]]
 * [[Non-associative algebra]]
 * [[Octonion algebra]]
+* [[Pre-Lie algebra]]
 * [[Poisson algebra]]
+* [[Process algebra]]
 * [[Quadratic algebra]]
 * [[Quaternion algebra]]
 * [[Rees algebra]]
+* [[Relation algebra]]
+* [[Relational algebra]]
+* [[Rota–Baxter algebra]]
 * [[Schur algebra]]
+* [[Semisimple algebra]]
 * [[Separable algebra]]
-* [[Sigma algebra]]
+* [[Shuffle algebra]]
+* [[Sigma-algebra]]
+* [[Simple algebra]]
+* [[Structurable algebra]]
+* [[Supercommutative algebra]]
 * [[Symmetric algebra]]
 * [[Tensor algebra]]
+* [[Universal enveloping algebra]]
+* [[Vertex operator algebra]]
 * [[von Neumann algebra]]
+* [[Weyl algebra]]
+* [[Zinbiel algebra]]
+This is a list of fields of algebra.
+* [[Linear algebra]]
-[[Category:Algebras]]
+* [[Homological algebra]]
+* [[Universal algebra]]
+[[Category:Algebras| ]]
-{{algebra-stub}}
+[[Category:Mathematics-related lists|Algebras]]