{
  "annotation_id": "d67d9070-0fa6-4aab-a492-414f31e35a6f",
  "date_created": "2026-02-17T05:53:12.637000Z",
  "date_modified": "2026-02-17T05:53:12.637000Z",
  "file_hash": "41a62cfab8cee0960452e12a3498da6f37edec543167ddb693f9e7f772ed0415",
  "private": false,
  "record": {
    "abstract": "We prove that the interval $[\\mathsf{V}(S_7),\\mathsf{V}(B_2^1)]$ in the lattice of additively idempotent semiring (ai-semiring) varieties has the cardinality of the continuum,where $S_7$ is the smallest nonfinitely based ai-semiring (a three-element algebra), and $B_2^1$ is the ai-semiring whose multiplicative reduct is the six-element Brandt monoid.",
    "arxiv_id": "2601.07116",
    "authors": [
      "Zidong Gao",
      "Miaomiao Ren",
      "Mengya Yue"
    ],
    "categories": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "The Interval $[\\mathsf{V}(S_7),\\mathsf{V}(B_2^1)]$ of Semiring Varieties Has the Cardinality of the Continuum",
    "url": "https://arxiv.org/abs/2601.07116",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8675868b-2c02-4f0a-80ca-ed7fae648ca8",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}