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Algebraically closed
From Mathematics Is A Science
Revision as of 01:24, 25 March 2011 by imported>WikiSysop
Given an algebraic structure X, such as group, vector space, ring etc, a subset A of X is algebraically closed if algebraic operations on the elements of A won't result in elements outside of A.
Then A is also a group, vector space, etc.
Compare to topologically closed subsets.