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Introduction to Homotopic Algebra

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Methods of Homological Algebra

Abstract

Let C be an arbitrary category, L and R be two classes of morphisms in C. The class L is said to be right complementary to R (and R is said to be left complementary to L) if the following condition is satisfied: for any commutative square with l ∈ L, r ∈ R there exists a diagonal morphism x making both triangle commutative.

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© 1996 Springer-Verlag Berlin Heidelberg

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Gelfand, S.I., Manin, Y.I. (1996). Introduction to Homotopic Algebra. In: Methods of Homological Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03220-6_5

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  • DOI: https://doi.org/10.1007/978-3-662-03220-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-03222-0

  • Online ISBN: 978-3-662-03220-6

  • eBook Packages: Springer Book Archive

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