Search for "Homological algebra" in article titles:

1. Homological algebra: The branch of algebra whose main study is derived functors on various categories of algebraic objects (modules over a given ring, sheaves, etc.). One of the origins of homological algebra is the (singular) homology theory of topological spaces. (Mathematics) [100%] 2023-10-14 [Homological algebra]
2. Homological algebra: Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory ... (Branch of mathematics) [100%] 2023-02-14 [Homological algebra]
3. Relative homological algebra: A homological algebra associated with a pair of Abelian categories $ ( \mathfrak A , \mathfrak M ) $ and a fixed functor $ \Delta : \mathfrak A \rightarrow \mathfrak M $( cf. Abelian category). (Mathematics) [81%] 2023-09-16
4. Mapping cone (homological algebra): In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain ... (Homological algebra) [70%] 2023-07-08 [Homological algebra]
5. Complex (in homological algebra): One of the basic concepts of homological algebra. Let $ A $ be an Abelian category. (Mathematics) [70%] 2023-11-01
6. Mapping cone (homological algebra): In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain ... (Homological algebra) [70%] 2023-12-23 [Homological algebra]
7. Homological conjectures in commutative algebra: In mathematics, homological conjectures have been a focus of research activity in commutative algebra since the early 1960s. They concern a number of interrelated (sometimes surprisingly so) conjectures relating various homological properties of a commutative ring to its internal ring ... [63%] 2023-02-14 [Commutative algebra] [Homological algebra]...
8. List of homological algebra topics: This is a list of homological algebra topics, by Wikipedia page. (Wikipedia list article) [63%] 2024-01-10 [Mathematics-related lists] [Homological algebra]...