## Abelian

In mathematics, **Abelian** refers to any of number of different mathematical concepts named after Niels Henrik Abel:

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### Some articles on abelian:

Pseudo-

... In mathematics, specifically in category theory, a pseudo-

**abelian**Category... In mathematics, specifically in category theory, a pseudo-

**abelian**category is a category that is preadditive and is such that every idempotent has a kernel ... The pseudo-**abelian**condition is stronger than preadditivity, but it is weaker than the requirement that every morphism have a kernel and cokernel, as is true for ... Synonyms in the literature for pseudo-**abelian**include pseudoabelian and Karoubian ...Associated Prime - Examples

... If R is the ring of integers, then non-trivial free

... If R is the ring of integers, then non-trivial free

**abelian**groups and non-trivial**abelian**groups of prime power order are coprimary ... If R is the ring of integers and M a finite**abelian**group, then the associated primes of M are exactly the primes dividing the order of M ...Pseudo-

... Any

**abelian**Category - Examples... Any

**abelian**category, in particular the category Ab of**abelian**groups, is pseudo-**abelian**... Indeed, in an**abelian**category, every morphism has a kernel ... category of associative rngs (not rings!) together with multiplicative morphisms is pseudo-**abelian**...**Abelian**- Other Uses

...

**Abelians**, 4th-century Christian sect Hovhannes

**Abelian**(1865–1936), Armenian actor ...

Surgery Exact Sequence - Versions Revisited

... This is achieved by putting an alternative

... This is achieved by putting an alternative

**abelian**group structure on the normal invariants as described here ... with the algebraic surgery exact sequence of Ranicki which is an exact sequence of**abelian**groups by definition ... This gives the structure set the structure of an**abelian**group ...Main Site Subjects