| ID | 70894 |
| FullText URL | |
| Author |
Ohara, Mariko
Center for Liberal Arts and Sciences Faculty of Engineering Toyama Prefectural University
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| Abstract | 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.
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| Keywords | K-theory
projective modules
E∞-rings
infinity category
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| Note | Mathematics Subject Classification. Primary 18E99; Secondary 19D10.
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| Published Date | 2026-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume68
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 113
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| End Page | 137
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2026 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol68/iss1/6
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