(Q494141)

English

bialgebra

vector space which is both a unital associative algebra and a counital coassociative coalgebra in a compatible way

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149

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{\begin{aligned}\Delta \circ \nabla &=\nabla \otimes \nabla \circ (\operatorname {id} \otimes \sigma \otimes \operatorname {id} )\circ \Delta \otimes \Delta \\\epsilon \otimes \epsilon &=\epsilon \circ \nabla \\\eta \otimes \eta &=\Delta \circ \eta \\\epsilon \circ \eta &=\operatorname {id} \end{aligned}}

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WikiProject Mathematics

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schematic

Bialgebra2.svg
255 × 62; 24 KB

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Bialgebra3.svg
185 × 56; 25 KB

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Bialgebra4a.svg
185 × 61; 26 KB

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Bialgebra1.svg
66 × 100; 20 KB

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Microsoft Academic ID

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26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

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Wikipedia(9 entries)

dewiki Bialgebra
enwiki Bialgebra
eswiki Biálgebra
frwiki Bialgèbre
idwiki Bialjabar
itwiki Bialgebra
jawiki 双代数
ruwiki Биалгебра
zhwiki 雙代數

(Q494141)

bialgebra

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