Toposes, monoid actions, and universal coalgebra
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- by Robert C. Davis PDF
- Proc. Amer. Math. Soc. 98 (1986), 547-552 Request permission
Abstract:
A category cotripleable over Sets may be a topos, or may fail to be a topos in at least two distinct ways. One class of examples involves the category of $M$-sets and "strong" homomorphisms. For finite monoids $M$, this category is cotripleable iff the left ideals of $M$ are totally ordered by inclusion.References
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- A. H. Clifford and G. B. Preston, The algebraic theory of semigroups. Vol. I, Mathematical Surveys, No. 7, American Mathematical Society, Providence, R.I., 1961. MR 0132791
- Robert C. Davis, Combinatorial examples in universal coalgebra, Proc. Amer. Math. Soc. 89 (1983), no. 1, 32–34. MR 706504, DOI 10.1090/S0002-9939-1983-0706504-6
- Robert C. Davis, Combinatorial examples in universal coalgebra, Proc. Amer. Math. Soc. 89 (1983), no. 1, 32–34. MR 706504, DOI 10.1090/S0002-9939-1983-0706504-6
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 547-552
- MSC: Primary 18B25; Secondary 18C15, 20M50
- DOI: https://doi.org/10.1090/S0002-9939-1986-0861747-9
- MathSciNet review: 861747