See dialgebra in All languages combined, or Wiktionary
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{ "derived": [ { "word": "superdialgebra" } ], "etymology_templates": [ { "args": { "1": "en", "2": "di", "3": "algebra" }, "expansion": "di- + algebra", "name": "prefix" } ], "etymology_text": "From di- + algebra.", "forms": [ { "form": "dialgebras", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "dialgebra (plural dialgebras)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "alt_of": [ { "word": "bialgebra" } ], "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with di-", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, Yong Zhang, Chengming Bai, Li Guo, “Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras”, in Science in China Math, volume 57, pages 259–273:", "text": "We also show that a Rota-Baxter operator on a totally compatible Lie dialgebra gives rise to a PostLie algebra, generalizing the fact that a Rota-Baxter operator on a Lie algebra gives rise to a PostLie algebra..", "type": "quote" } ], "glosses": [ "Alternative form of bialgebra" ], "links": [ [ "mathematics", "mathematics" ], [ "bialgebra", "bialgebra#English" ] ], "raw_glosses": [ "(mathematics) Alternative form of bialgebra" ], "tags": [ "alt-of", "alternative" ], "topics": [ "mathematics", "sciences" ] } ], "word": "dialgebra" }
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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 2025-01-31 from the enwiktionary dump dated 2025-01-20 using wiktextract (bcd5c38 and 9dbd323). 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.
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