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Abstract

According to Grothendieck’s definition, which is by now standard in part of the literature, an epimorphism is a map f: AB such that for any maps g: BC, h: BC, if gh, then gfhf. In groups, for example, epimorphisms are onto, but in rings, for example, they are not.

Supported by National Science Foundation Grant GP1791.

Received June 12, 1965.

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References

  1. Freyd, P.: Abelian categories. New York: Harper and Row 1964.

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© 1966 Springer-Verlag Berlin · Heidelberg

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Isbell, J.R. (1966). Epimorphisms and Dominions. In: Eilenberg, S., Harrison, D.K., MacLane, S., Röhrl, H. (eds) Proceedings of the Conference on Categorical Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99902-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-99902-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

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