{
  "abstract": "We study the algebraic K-theory of quotients of even ring spectra. Building on Efimov's work, we prove that the limit of the K-theories of these quotients is the continuous K-theory of nuclear modules. For quotients by elements in the height $n$ chromatic ideal, we show that this agrees with the K-theory of the ring spectrum, after chromatic localization at heights $\\geq n{+}1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01843",
  "author_total": 1,
  "authors": [
    {
      "name": "Shay Ben-Moshe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/114sjmn0xr91s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01843",
  "fulltext_url": null,
  "id": "114sjmn0xr91s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01843",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.KT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7207704686",
  "pdf_url": "https://arxiv.org/pdf/2609.01843",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/114sjmn0xr91s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.01843",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01843"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Algebraic K-theory of quotient ring spectra",
  "title_text": "Algebraic K-theory of quotient ring spectra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/114sjmn0xr91s",
  "venue": "arXiv",
  "versions": []
}