adjoin

English

Etymology

From Anglo-Norman adjoindre, from Latin adiungō.

Pronunciation

• enPR: ə-join'
• IPA^(key): /əˈd͡ʒɔɪn/

• Audio (Southern England):

  (file)

• Audio (US):

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• Rhymes: -ɔɪn

Verb

adjoin (third-person singular simple present adjoins, present participle adjoining, simple past and past participle adjoined)

1. (transitive) To be in contact or connection with.

   The living room and dining room adjoin each other.

   • 2013, Graeme Simsion, The Rosie Project, →ISBN, page 55:

     We were in the living area, which adjoins the kitchen.

2. (transitive, mathematics, chiefly algebra and number theory) To extend an algebraic object (e.g. a field, a ring, etc.) by adding to it an element not belonging to it and then ensuring closure, for example by also adding all finite power series of the element.

   The ring adjunction $\mathbb {Q} [{\sqrt {2}}]$ can be obtained from $\mathbb {Q}$ by adjoining ${\sqrt {2}}$ to $\mathbb {Q}$.

   The field adjunction $\mathbb {Q} (\pi )$ can be obtained from $\mathbb {Q}$ by adjoining $\pi$ to $\mathbb {Q}$.

Derived terms

• adjoinedly
• adjoining

 

Related terms

• adjunction

Translations

to be in contact or connection with

• Bulgarian: гранича (bg) (graniča), допирам се (dopiram se)
• Czech: sousedit (cs)
• French: adjoindre (fr)
• Galician: testar (gl)
• Russian: грани́чить (ru) (graníčitʹ), примыка́ть (ru) (primykátʹ), сосе́дствовать (ru) (sosédstvovatʹ)
• Scottish Gaelic: bi dlùth ri
• Spanish: lindar con (es), colindar con (es)

mathematics: to add (an element) to a structure

• French: adjoindre (fr)