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Groupoid algebra : ウィキペディア英語版 | Groupoid algebra In mathematics, the concept of groupoid algebra generalizes the notion of group algebra.〔Khalkhali (2009), (p. 48 )〕 == Definition == Given a groupoid and a field , it is possible to define the groupoid algebra as the algebra over formed by the vector space having the elements of as generators and having the multiplication of these elements defined by , whenever this product is defined, and otherwise. The product is then extended by linearity.〔Dokuchaev, Exel & Piccione (2000), p. 7〕
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「Groupoid algebra」の詳細全文を読む
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