adjoin
verbCA, US, UK /əˈd͡ʒɔɪn/ · AU, NZ /əˈd͡ʒoɪn/
Etymology From Anglo-Norman adjoindre, from Latin adiungō.
1
To be in contact or connection with.
- The living room and dining room adjoin each other.
- We were in the living area, which adjoins the kitchen.2013, Graeme Simsion, The Rosie Project, →ISBN, page 55:
2
Algebra, Mathematics, Number theory, Sciences 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 #92;mathbb#123;Q#125;#91;#92;sqrt#123;2#125;#93; can be obtained from #92;mathbb#123;Q#125; by adjoining #92;sqrt#123;2#125; to #92;mathbb#123;Q#125;.
- The field adjunction #92;mathbb#123;Q#125;(#92;pi) can be obtained from #92;mathbb#123;Q#125; by adjoining #92;pi to #92;mathbb#123;Q#125;.
- Derived terms
- adjoinedly, adjoining
- Related terms
- adjunction