**Examples**

The original example of an additive category is the category **Ab** of abelian groups. **Ab** is preadditive because it is a closed monoidal category, the biproduct in **Ab** is the finite direct sum, the kernel is inclusion of the ordinary kernel from group theory and the cokernel is the quotient map onto the ordinary cokernel from group theory.

Other common examples:

- The category of (left) modules over a ring
*R*, in particular:- the category of vector spaces over a field
*K*.

- the category of vector spaces over a field
- The category of (Hausdorff) abelian topological groups.

These will give you an idea of what to think of; for more examples, see abelian category (every abelian category is pre-abelian).

Read more about this topic: Pre-abelian Category

### Other articles related to "examples":

... Tatira has given a number of

**examples**of proverbs used in advertising in Zimbabwe ... However, unlike the

**examples**given above in English, all of which are anti-proverbs, Tatira's

**examples**are standard proverbs ... the English proverbs above are meant to make a potential customer smile, in one of the Zimbabwean

**examples**"both the content of the proverb and the fact that it is phrased as a proverb ...

... though /oʊ/ as in toe (other

**examples**dough) tough /ʌf/ as in cuff (other

**examples**rough, enough) cough /ɒf/ as in off (other

**examples**Gough (name, some pronunciations)) hiccough (a now ...

### Famous quotes containing the word examples:

“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied *examples* of his wrath.”

—G.C. (Georg Christoph)

“Histories are more full of *examples* of the fidelity of dogs than of friends.”

—Alexander Pope (1688–1744)

“There are many *examples* of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”

—Bernard Mandeville (1670–1733)