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• W1551462233 abstract "The adjunction of a unit to an algebraic structure with a given binary associative operation is discussed by interpreting such structures as semigroups and monoids respectively in a monoidal category. This approach then allows for results on the adjunction of counits to coalgebraic structures with a binary co-associative co-operation as well. Special attention is paid to situations where a given coalgebraic structure induces a “dual algebraic one; here the compatibility of adjoining (co)units and dualization is examined. The extension of this process to starred algebraic structures and to monoid actions is discussed as well. Particular emphasis is given to examples from many areas of mathematics." @default.
• W1551462233 created "2016-06-24" @default.
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• W1551462233 creator A5086576351 @default.
• W1551462233 date "2015-07-21" @default.
• W1551462233 modified "2023-09-30" @default.
• W1551462233 title "Free Monoids over Semigroups in a Monoidal Category: Construction and Applications" @default.
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• W1551462233 doi "https://doi.org/10.1080/00927872.2014.955575" @default.
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