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Mathematics definition[edit]

Is this the definition, or is the definition rather: To extend an algebraic object (e.g. a field, a ring, etc.) to the smallest such algebraic object containing (an element not belonging to it).? - i.e. is adjoining defined by what's added (all the series) or by the closedness? I suspect it is the latter. 07:49, July 4, 2010 Msh210 [was in {{attention}}]