Adjoin

Quick meaning: Adjoin is a verb meaning (transitive) To be in contact or connection with.

Meaning

(transitive) To be in contact or connection with.

More Meanings

1. (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.

Example Sentences

The living room and dining room adjoin each other.

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

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;.

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;.

Word Forms

• adjoins
• adjoining
• adjoined

Synonyms for adjoin

Depending on context, synonyms include butt, touch, edge, border, meet, abut.

Related Words

Related dictionary entries include abut, meet, edge, border, touch, butt.

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