### Some articles on *injective, injectives*:

**Injective**Hull

... in the area of abstract algebra known as module theory, the

**injective**hull (or

**injective**envelope) of a module is both the smallest

**injective**module containing it and the largest essential extension of it ...

**Injective**hulls were first described in (Eckmann Schopf 1953), and are described in detail in the textbook (Lam 1999) ...

Resolution (algebra) - Resolutions in Abelian Categories

... The analogous notion of projective and

... The analogous notion of projective and

**injective**modules are projective and**injective**objects, and, accordingly, projective and**injective**resolutions ...**injective**) resolution, then A is said to have enough projectives (resp ... enough**injectives**) ...**Injective**Metric Space - Properties

... In an

**injective**space, the radius of the minimum ball that contains any set S is equal to half the diameter of S ... Thus,

**injective**spaces satisfy a particularly strong form of Jung's theorem ... Every

**injective**space is a complete space (Aronszajn and Panitchpakdi 1956), and every metric map (or, equivalently, nonexpansive mapping, or short map) on a bounded

**injective**...

Algebraically Compact Group

... The group is pure

... The group is pure

**injective**, that is,**injective**with respect to exact sequences where the embedding is as a pure subgroup ... Every**injective**group is algebraically compact ...Resolution (algebra) - Resolutions of Modules - Free, Projective,

...

**Injective**, and Flat Resolutions...

**Injective**resolutions are right resolutions whose Ci are all**injective**modules ... Dually, every R-module possesses an**injective**resolution ... Analogously, the**injective**dimension id(M) and flat dimension fd(M) are defined for modules also ...