construction in homological algebra
C65628
concept
A construction in homological algebra is a systematic process (such as forming chain complexes, derived functors, or spectral sequences) that builds new algebraic objects from given ones to study and encode their homological and cohomological properties.
All labels observed (3)
| Label | Occurrences |
|---|---|
| connecting homomorphism | 1 |
| construction in homological algebra canonical | 1 |
| resolution in homological algebra | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: construction in homological algebra
Generated description
A construction in homological algebra is a systematic process (such as forming chain complexes, derived functors, or spectral sequences) that builds new algebraic objects from given ones to study and encode their homological and cohomological properties.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Tate cohomology | — |
| Bockstein homomorphism | connecting homomorphism |
| Bernstein–Gelfand–Gelfand resolution | resolution in homological algebra |