Abstract
According to Grothendieck’s definition, which is by now standard in part of the literature, an epimorphism is a map f: A → B such that for any maps g: B → C, h: B → C, if g ≠ h, then gf ≠ hf. 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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Freyd, P.: Abelian categories. New York: Harper and Row 1964.
Howie, J. M.: Embedding theorems with amalgamation for semigroups. Proc. London Math. Soc. 3, 12, 511–534 (1962).
Ljapin, E. S.: Semigroups. Amer. Math. Soc. Translations, Providence 1963.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1966 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-99902-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-99904-8
Online ISBN: 978-3-642-99902-4
eBook Packages: Springer Book Archive