Abstract
Let C be an arbitrary category, L and R two classes of morphisms in C. The class L is said to be left complementary to R (and R is said to be right complementary to L) if the following condition is satisfied: for any solid arrow commutative square with l ∈ L, r ∈ R, there exists a diagonal morphism x making both triangles commutative.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gelfand, S.I., Manin, Y.I. (2003). Introduction to Homotopic Algebra. In: Methods of Homological Algebra. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12492-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-12492-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07813-2
Online ISBN: 978-3-662-12492-5
eBook Packages: Springer Book Archive