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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Category of medial magmas ： ウィキペディア英語版 Category of medial magmas In mathematics, the medial category Med, that is, the category of medial magmas has as objects sets with a medial binary operation, and morphisms given by homomorphisms of operations (in the universal algebra sense). The category Med has direct products, so the concept of a medial magma object (internal binary operation) makes sense. As a result, Med has all its objects as ''medial objects'', and this characterizes it. There is an inclusion functor from Set to Med as trivial magmas, with operations being the ''right'' projections : (''x'', ''y'') → ''y''. An injective endomorphism can be extended to an automorphism of a magma extension — the colimit of the constant sequence of the endomorphism. ==See also== * Eckmann-Hilton argument 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Category of medial magmas」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.