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Separable algebra

In mathematics, a separable algebra is a kind of semisimple algebra. It is a generalization to associative algebras of the notion of a separable field extension.

Characters, Examples & Equivalent characterizations of separability

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Equivalent characterizations of separability

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Definition and first properties

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Definition and first properties

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Equivalent characterizations of separability

Relation to Frobenius algebras

Relation to formally unramified and formally étale extensions

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Separable algebra

Nodes57
Edges56
Triples76
Avg. degree1.96
Density0.035088
Components1

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Separable algebra

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related to References · 48
Separable algebra → Advanced Mathematics, American Mathematical Society, An, Berlin-Heidelberg-New York, Cambridge Studies, Cambridge University Press, Charles, DeMeyer, Endo, Frobenius, II, Ingraham, ISBN, Jpn, Lars, Lecture Notes, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, London Mathematical Society Monographs
related to Separable algebras over a field · 14
Separable algebra → Every, Frobenius, If, If L/K, In, It, K-algebra, K-algebras, K-monomorphisms, L/K, Maschke, More, The, Tr
related to Equivalent characterizations of separability · 11
Separable algebra → A-A-bimodule, A-A-bimodules, A-K-bimodule, A-K-bimodules, Indeed, K-algebra, Maschke's, Moreover, Separable, The, There
related to Relation to Frobenius algebras · 2
Separable algebra → An, Frobenius
is a · 1
Separable algebra → kind of semisimple algebra

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Important terminology

separable algebra algebras field extension commutative separability displaystyle rings idempotent extensions finite semisimple frobenius isbn ring otimes textstyle k-algebra mathematics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Separable algebrais akind of semisimple algebra0.90text
Separable algebrarelated to Equivalent characterizations of separabilityThere0.60section
Separable algebrarelated to Equivalent characterizations of separabilityK-algebra0.60section
Separable algebrarelated to Equivalent characterizations of separabilityMoreover0.60section
Separable algebrarelated to Equivalent characterizations of separabilitySeparable0.60section
Separable algebrarelated to Equivalent characterizations of separabilityA-A-bimodules0.60section
Separable algebrarelated to Equivalent characterizations of separabilityA-K-bimodules0.60section
Separable algebrarelated to Equivalent characterizations of separabilityIndeed0.60section
Separable algebrarelated to Equivalent characterizations of separabilityA-A-bimodule0.60section
Separable algebrarelated to Equivalent characterizations of separabilityA-K-bimodule0.60section
Separable algebrarelated to Equivalent characterizations of separabilityThe0.60section
Separable algebrarelated to Equivalent characterizations of separabilityMaschke's0.60section

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