What does coalgebra mean?
Definitions for coalgebra
coal·ge·bra
This dictionary definitions page includes all the possible meanings, example usage and translations of the word coalgebra.
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Wiktionary
coalgebranoun
a structure that is dual to unital associative algebras
Wikipedia
Coalgebra
In mathematics, coalgebras or cogebras are structures that are dual (in the category-theoretic sense of reversing arrows) to unital associative algebras. The axioms of unital associative algebras can be formulated in terms of commutative diagrams. Turning all arrows around, one obtains the axioms of coalgebras. Every coalgebra, by (vector space) duality, gives rise to an algebra, but not in general the other way. In finite dimensions, this duality goes in both directions (see below). Coalgebras occur naturally in a number of contexts (for example, representation theory, universal enveloping algebras and group schemes). There are also F-coalgebras, with important applications in computer science.
Wikidata
Coalgebra
In mathematics, coalgebras or cogebras are structures that are dual to unital associative algebras. The axioms of unital associative algebras can be formulated in terms of commutative diagrams. Turning all arrows around, one obtains the axioms of coalgebras. Every coalgebra, by duality, gives rise to an algebra, but not in general the other way. In finite dimensions, this duality goes in both directions. Coalgebras occur naturally in a number of contexts. There are also F-coalgebras, with important applications in computer science.
Numerology
Chaldean Numerology
The numerical value of coalgebra in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of coalgebra in Pythagorean Numerology is: 1
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"coalgebra." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/coalgebra>.
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