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category:Math/Algebra date:2025-06 logpath:NumAnalysis.Algebra keyword:algebra keyword:algebraic structure hierarchy keyword:functions to an algebraic structure keyword:algebraic substructure keyword:morphism keyword:monoid keyword:group keyword:ring keyword:module space keyword:affine space keyword:dimension theorem keyword:incomplete basis theorem keyword:dual basis keyword:predual basis keyword:rank-nullity theorem keyword:binomial coefficient