{
  "id": "2203.14787",
  "version": "v1",
  "published": "2022-03-28T14:22:08.000Z",
  "updated": "2022-03-28T14:22:08.000Z",
  "title": "Multiplicative structures on Moore spectra",
  "authors": [
    "Robert Burklund"
  ],
  "comment": "13 pages. Comments welcome!",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this article we show that $\\mathbb{S}/8$ is an $\\mathbb{E}_1$-algebra, $\\mathbb{S}/32$ is an $\\mathbb{E}_2$-algebra, $\\mathbb{S}/p^{n+1}$ is an $\\mathbb{E}_n$-algebra at odd primes and, more generally, for every $h$ and $n$ there exist generalized Moore spectra of type $h$ which admit an $\\mathbb{E}_n$-algebra structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-28T14:22:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicative structures",
      "generalized moore spectra",
      "algebra structure",
      "odd primes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}