See Frobenioid in All languages combined, or Wiktionary
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{ "etymology_templates": [ { "args": { "1": "en", "2": "Frobenius", "3": "monoid" }, "expansion": "Blend of Frobenius + monoid", "name": "blend" } ], "etymology_text": "Blend of Frobenius + monoid, since certain Frobenius morphisms between Frobenioids are analogues of the usual Frobenius morphism.", "forms": [ { "form": "Frobenioids", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Frobenioid (plural Frobenioids)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English blends", "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English nouns", "Pages with 1 entry", "Pages with entries" ], "glosses": [ "A category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields." ], "links": [ [ "category", "category" ], [ "extra", "extra" ], [ "structure", "structure" ], [ "generalize", "generalize" ], [ "theory", "theory" ], [ "line bundle", "line bundle" ], [ "model", "model" ], [ "finite", "finite" ], [ "extension", "extension" ], [ "global", "global" ], [ "field", "field" ] ], "raw_glosses": [ "(arithmetic geometry) A category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields." ], "topics": [ "arithmetic", "geometry", "mathematics", "sciences" ], "wikipedia": [ "Frobenioid" ] } ], "word": "Frobenioid" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.