Multivalued operations and universal coalgebra
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- by Robert C. Davis PDF
- Proc. Amer. Math. Soc. 32 (1972), 385-388 Request permission
Abstract:
We define a type of representation of a semigroup by relations on a set, more general than the representation by transformations, which leads to a category cotripleable over the category of sets. This result motivates a generalization to higherorder operations and a concept of cotheory resembling that of theory in universal algebra.References
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R. C. Davis, Abstract universal algebra, Dissertation, Tulane University, New Orleans, La., 1967.
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 385-388
- MSC: Primary 20M30; Secondary 08A25, 18C15
- DOI: https://doi.org/10.1090/S0002-9939-1972-0311826-X
- MathSciNet review: 0311826