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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 K-graph C*-algebra ： ウィキペディア英語版 K-graph C*-algebra In mathematics, a k-graph (or higher-rank graph, graph of rank k) is a countable category $\backslash Lambda$ with domain and codomain maps $r$ and $s$, together with a functor $d\; :\; \backslash Lambda\; \backslash to\; \backslash mathbb^k$ which satisfies the following factorisation property: if $d\; (\; \backslash lambda\; )\; =\; m+n$ then there are unique $\backslash mu\; ,\; \backslash nu\; \backslash in\; \backslash Lambda$ with $d\; (\; \backslash mu\; )\; =\; m\; ,\; d\; (\; \backslash nu\; )\; =\; n$ such that $\backslash lambda\; =\; \backslash mu\; \backslash nu$. == Background == The finite graph theory in a directed graph form a mathematics category under concatenation called the free object category (which is generated by a graph). The length of a path in $E$ gives a functor from this category into the natural numbers $\backslash mathbb$. A ''k-graph'' is a natural generalisation of this concept which was introduced in 2000 by Alex Kumjian and David Pask. 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「K-graph C*-algebra」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.