Measuring coalgebra

id: measuring-coalgebra-282-15393407
title: Measuring coalgebra
text: In algebra, a measuring coalgebra of two algebras A and B is a coalgebra enrichment of the set of homomorphisms from A to B. In other words, if coalgebras are thought of as a sort of linear analogue of sets, then the measuring coalgebra is a sort of linear analogue of the set of homomorphisms from A to B. In particular its group-like elements are (essentially) the homomorphisms from A to B. Measuring coalgebras were introduced by Sweedler (1968, 1969).
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original url: https://en.wikipedia.org/wiki/Measuring_coalgebra
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date modified: 2023-12-03T01:50:24Z
main entity: {"identifier":"Q17098815","url":"https://www.wikidata.org/entity/Q17098815"}
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