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In mathematics, especially algebraic geometry, the Bass conjecture says that certain algebraic ''K''-groups are supposed to be finitely generated. The conjecture was proposed by Hyman Bass. ==Statement of the conjecture== Any of the following equivalent statements is referred to as the Bass conjecture. * For any finitely generated Z-algebra ''A'', the groups ''K * For any finitely generated Z-algebra ''A'', that is a regular ring, the groups ''K''''n''(''A'') are finitely generated (''K''-theory of finitely generated locally free ''A''-modules). * For any scheme ''X'' of finite type over Spec(Z), ''K * For any regular scheme ''X'' of finite type over Z, ''K''''n''(''X'') is finitely generated. The equivalence of these statements follows from the agreement of ''K''- and ''K 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「Bass conjecture」の詳細全文を読む スポンサード リンク
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