|
|
|
|
preadditive functor
|
(Definition)
|
|
Definition 0.1 A functor between two preadditive categories $\mathcal{\A_P}$ and $\mathcal{\A'_P}$ is called a (pre) additive (or preadditive) functor, if for any pair of morphisms $f, g \in Hom_{\mathcal{\A_P}}(X,Y)$ one has that $F(f + g) = F(f) + F(g)$ .
|
"preadditive functor" is owned by bci1. [ full author list (2) ]
|
|
(view preamble | get metadata)
Cross-references: morphisms, additive, preadditive categories, functor
There is 1 reference to this entry.
This is version 13 of preadditive functor, born on 2008-07-15, modified 2009-02-02.
Object id is 10791, canonical name is PreAdditiveFunctors.
Accessed 504 times total.
Classification:
| AMS MSC: | 18-00 (Category theory; homological algebra :: General reference works ) | | | 18E05 (Category theory; homological algebra :: Abelian categories :: Preadditive, additive categories) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
