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ID 70894
フルテキストURL
著者
Ohara, Mariko Center for Liberal Arts and Sciences Faculty of Engineering Toyama Prefectural University
抄録
The main objective is showing a variant of resolution theorem of connective Waldhausen K-theory in suitable situations. We construct two sequences of subcategories, one is consisting of finitely generated symmetric module spectra which satisfy the condition of the resolution theorem and the other is consisting of the corresponding ∞-subcategories of certain finitely generated module spectra. As an application, we construct a sequence of subcategories consisting of certain DG-modules satisfying the condition of a resolution theorem.
キーワード
K-theory
projective modules
E∞-rings
infinity category
備考
Mathematics Subject Classification. Primary 18E99; Secondary 19D10.
発行日
2026-01
出版物タイトル
Mathematical Journal of Okayama University
68巻
1号
出版者
Department of Mathematics, Faculty of Science, Okayama University
開始ページ
113
終了ページ
137
ISSN
0030-1566
NCID
AA00723502
資料タイプ
学術雑誌論文
言語
英語
著作権者
Copyright ©2026 by the Editorial Board of Mathematical Journal of Okayama University
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol68/iss1/6