On categories of quotients
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- by Aaron Klein
- Proc. Amer. Math. Soc. 30 (1971), 205-211
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285581-5
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Abstract:
We construct a category of quotients over a category satisfying a condition similar to the Ore condition. Addition of quotients is briefly discussed.References
- Aaron Klein, Relations in categories, Illinois J. Math. 14 (1970), 536–550. MR 268247
- Peter Hilton, Correspondences and exact squares, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 254–271. MR 0204487
- Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. MR 0202787
- J. R. Isbell, Natural sums and abelianizing, Pacific J. Math. 14 (1964), 1265–1281. MR 179230
- A. G. Kuroš, A. H. Livšic, and E. G. Šul′geĭfer, Foundations of the theory of categories, Uspehi Mat. Nauk 15 (1960), no. 6 (96), 3–52 (Russian). MR 0118755
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 205-211
- MSC: Primary 18.10
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285581-5
- MathSciNet review: 0285581