Definitions from Wiktionary (adjoin)

▸ verb:  (transitive) To be in contact or connection with.
▸ verb:  (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.
▸ Also see adjoin

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