Research action · Preserved journal reading record

C880 — Derive the prefix-denominator theorem

Download reading recordDownload source journalOpen in research workspace

Study sequence: Calendar Key grids, domains and order (C872–C889) · Calendar Keys, phase & Sothic

C880 — Derive the prefix-denominator theorem

Question

What must hold for every stage of a finite Key word to preserve a grid?

Inputs

{}

Sources

[
  "C873",
  "Strategy partial actions"
]

Opened utc

2026-09-28T02:48:14.996601+00:00

Results

{
  "theorem": {
    "path": "model/key_word_domain_theorem.json",
    "sha256": "9e8fc429be24813a422a5cbe2e49b519cb624e2b33a35d21147754afe10f1623",
    "bytes": 369
  }
}

Finding

The exact all-stage domain is h times the least common multiple of reduced prefix denominators. Final integrality is a weaker condition whenever cancellation occurs only later.

Reassessment

Evaluate the complete fixed inventory of nine two-Key words.

Checks

{
  "criterion": true,
  "authorization_retained": true
}

Closed utc

2026-09-28T02:48:14.996937+00:00

Record provenance

Exact record hash: 3e927bc16221395b1cafd26aad913a64efb1c770c298ee662f946b03a6b7eebe

Source journal: Research_Cycles/C0832_C0931/journal.json

Linked sources and evidence

Edition and provenance

C880.md

SHA-256 d2959a3c5e3b07f9686a3864cbb358b3827642e4a8726e56ef7fab0faef08f53

C480–C1634/Research_Cycles/C0832_C0931/journal.json#C880