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Tensor product of fields

In mathematics, the tensor product of two fields is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, the two fields must have the same characteristic and the common subfield is their prime subfield.

Products, Compositum of fields & Analysis of the ring structure

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Compositum of fields

Field theoryTower of fieldsComplex numbersIsomorphicVector space
17 related topics

Analysis of the ring structure

A prioriRing homomorphismKernelPrime idealConversely
10 related topics

Examples

Cube rootSplitting fieldRational functionsFinite fieldSeparable polynomial
6 related topics

Classical theory of real and complex embeddings

Totally real number fieldsRealP-adic numbers
3 related topics

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Compositum of fields

The tensor product as ring

Analysis of the ring structure

Examples

Classical theory of real and complex embeddings

Consequences for Galois theory

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Tensor product of fields

Nodes59
Edges58
Triples5
Avg. degree1.97
Density0.033898
Components1

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Tensor product of fields

Top relations

related to The tensor product as ring · 5
Tensor product of fields → N-algebra, One, Tensor, This, To

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Important terminology

fields field product displaystyle tensor one otimes two theory mathbb extension common compositum subfield ring structure example extensions number prime

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SubjectPredicateObjectConfidenceSrc
Tensor product of fieldsrelated to The tensor product as ringTo0.60section
Tensor product of fieldsrelated to The tensor product as ringOne0.60section
Tensor product of fieldsrelated to The tensor product as ringTensor0.60section
Tensor product of fieldsrelated to The tensor product as ringThis0.60section
Tensor product of fieldsrelated to The tensor product as ringN-algebra0.60section

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