“Abelian Categories: An Introduction to the Theory of Functors”
E621117
“Abelian Categories: An Introduction to the Theory of Functors” is a foundational monograph in category theory that systematically develops the theory of abelian categories and functors, significantly shaping modern homological algebra.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Abelian Categories: An Introduction to the Theory of Functors | 0 |
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
monograph ⓘ nonfiction book ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| aimsTo |
clarify the role of functors in homological algebra
ⓘ
provide a systematic treatment of abelian categories ⓘ |
| contribution |
systematic development of the theory of abelian categories
ⓘ
systematic development of the theory of functors ⓘ |
| describedAs | foundational monograph in category theory ⓘ |
| field |
category theory
ⓘ
homological algebra ⓘ |
| focusesOn |
categorical foundations of homological algebra
ⓘ
functorial methods in algebra ⓘ structure and properties of abelian categories ⓘ |
| genre | mathematics literature ⓘ |
| hasForm | monograph ⓘ |
| hasTheoreticalImportance | high ⓘ |
| hasTopic |
additive functors
ⓘ
categorical formulation of homological algebra ⓘ derived functors and cohomology ⓘ diagram chasing in abelian categories ⓘ exact functors and left/right exactness ⓘ exact sequences in abelian categories ⓘ kernels and cokernels in abelian categories ⓘ |
| influenceOn | modern homological algebra ⓘ |
| intendedAudience |
graduate students in mathematics
ⓘ
researchers in category theory ⓘ researchers in homological algebra ⓘ |
| isUsedFor |
advanced courses in category theory
ⓘ
advanced courses in homological algebra ⓘ foundations of derived functors ⓘ study of abelian categories ⓘ study of functorial constructions ⓘ |
| language | English ⓘ |
| mainSubject |
abelian categories
ⓘ
derived functors ⓘ exact functors ⓘ functors ⓘ homological algebra ⓘ |
| recognizedAs |
important reference in category theory
ⓘ
important reference in homological algebra ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.