Logo

Categories and Homological Algebra

Small book cover: Categories and Homological Algebra

Categories and Homological Algebra
by

Publisher: UPMC
Number of pages: 125

Description:
The aim of these notes is to introduce the reader to the language of categories and to present the basic notions of homological algebra, first from an elementary point of view, with the notion of derived functors, next with a more sophisticated approach, with the introduction of triangulated and derived categories.

Home page url

Download or read it online for free here:
Download link
(630KB, PDF)

Similar books

Book cover: Category Theory and Functional ProgrammingCategory Theory and Functional Programming
by - University of St. Andrews
An introduction to category theory that ties into Haskell and functional programming as a source of applications. Topics: definition of categories, special objects and morphisms, functors, natural transformation, (co-)limits and special cases, etc.
(13041 views)
Book cover: Dynamical Systems and SheavesDynamical Systems and Sheaves
by - arXiv
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.
(7208 views)
Book cover: Category Theory for ProgrammersCategory Theory for Programmers
by - unglue.it
Category theory is the kind of math that is particularly well suited for the minds of programmers. It deals with the kind of structure that makes programs composable. And I will argue strongly that composition is the essence of programming.
(7435 views)
Book cover: Abelian Categories: an Introduction to the Theory of FunctorsAbelian Categories: an Introduction to the Theory of Functors
by - Harper and Row
From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.
(13861 views)