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Category algebra : ウィキペディア英語版 | Category algebra
In category theory, a field of mathematics, a category algebra is an associative algebra, defined for any locally finite category and commutative ring with unity. It generalizes the notions of group algebra and incidence algebra, just as category generalizes the notions of group and partially ordered set. ==Definition== If the given category is finite (has finitely many objects and morphisms), then the following two definitions of the category algebra agree.
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 algebra」の詳細全文を読む
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