Movatterモバイル変換

adjoin

From Wiktionary, the free dictionary

adjoin (third-person singular simple presentadjoins,present participleadjoining,simple past and past participleadjoined)

(transitive) To be in contact orconnection with.
The living room and dining roomadjoin each other.
- 2013, Graeme Simsion,The Rosie Project,→ISBN, page55:
  We were in the living area, whichadjoins the kitchen.
(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 ensuringclosure, for example by also adding all finite power series of the element.
The ring adjunction $\mathbb {Q} [{\sqrt {2}}]$ can be obtained from $\mathbb {Q}$ byadjoining ${\sqrt {2}}$ to $\mathbb {Q}$ .
The field adjunction $\mathbb {Q} (\pi )$ can be obtained from $\mathbb {Q}$ byadjoining $\pi$ to $\mathbb {Q}$ .

to be in contact or connection with

mathematics: to add (an element) to a structure

Hidden categories: