Compositum

English

Etymology

From Template:Der.

Pronunciation

• Template:Audio

Noun

1. Template:Lb Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B.
   • 1998, Iain T. Adamson (translator), Template:W, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Template:W], Springer, page 98,

     Of particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime.

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Usage notes

• Denoted $A\cdot B$.
• It is the same as the image of the homomorphism $h:(A{\otimes }_{k}B)\to F$ that maps the tensor product $a\otimes b\to ab$.

Synonyms

• Template:Sense Template:L

Further reading

• Template:Pedia
• Compositum on Template:W

Latin

Etymology

Inflected form of Template:M; the noun is the substantivised neuter form.

Adjective

1. Template:Inflection of

Noun

1. that which is agreed; an agreement, compact, etc.

   Template:Syn

2. compound word, compound

Usage notes

• This noun also appears (in the ablative only) in the phrases Template:M Template:M and Template:M Template:M, as well as more rarely (in the same sense) alone as Template:M.

References

• Template:R:Elementary Lewis
• Template:R:Gaffiot
• Template:R:M&A