See Frobenioid on Wiktionary
Download JSON data for Frobenioid meaning in All languages combined (1.7kB)
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"2": "Frobenius",
"3": "monoid"
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"expansion": "Blend of Frobenius + monoid",
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}
],
"etymology_text": "Blend of Frobenius + monoid, since certain Frobenius morphisms between Frobenioids are analogues of the usual Frobenius morphism.",
"forms": [
{
"form": "Frobenioids",
"tags": [
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"glosses": [
"A category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields."
],
"id": "en-Frobenioid-en-noun-jLBSd6w5",
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"(arithmetic geometry) A category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields."
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{
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"2": "Frobenius",
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"etymology_text": "Blend of Frobenius + monoid, since certain Frobenius morphisms between Frobenioids are analogues of the usual Frobenius morphism.",
"forms": [
{
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"glosses": [
"A category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields."
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"(arithmetic geometry) A category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields."
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],
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-25 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). 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.