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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 Projective cover ： ウィキペディア英語版 Projective cover In the branch of abstract mathematics called category theory, a projective cover of an object ''X'' is in a sense the best approximation of ''X'' by a projective object ''P''. Projective covers are the dual of injective envelopes. == Definition == Let $\backslash mathcal$ be a category and ''X'' an object in $\backslash mathcal$. A projective cover is a pair (''P'',''p''), with ''P'' a projective object in $\backslash mathcal$ and ''p'' a superfluous epimorphism in Hom(''P'', ''X''). If ''R'' is a ring, then in the category of ''R''-modules, a superfluous epimorphism is then an epimorphism $p\; :\; P\; \backslash to\; X$ such that the kernel of ''p'' is a superfluous submodule of ''P''. 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「Projective cover」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.