- {\displaystyle s\in S} to itself) is
injective. In particular, the
identity function X → X {\displaystyle X\to X} is
always injective (and in fact bijective). If...
- mathematics,
particularly in algebra, the
injective hull (or
injective envelope) of a
module is both the
smallest injective module containing it and the largest...
- the
field of
category theory, the
concept of
injective object is a
generalization of the
concept of
injective module. This
concept is
important in cohomology...
-
algebraically compact modules are
analogous to
injective modules,
where one can
extend all
module homomorphisms. All
injective modules are
algebraically compact,...
- An
injector is a
system of
ducting and
nozzles used to
direct the flow of a high-pressure
fluid in such a way that a
lower pressure fluid is entrained...
- in
terms of them:
Injective cogenerators are
injective modules that
faithfully represent the
entire category of modules.
Injective resolutions measure...
-
example the
Leray spectral sequence. An
injective sheaf F {\displaystyle {\mathcal {F}}} is a
sheaf that is an
injective object of the
category of
abelian sheaves;...
-
Injective (INJ) is a
blockchain optimized for Web3 finance.
Injective was
launched by
Injective Labs,
which was
founded by Eric Chen and
Albert Chon in...
- In
category theory, a
branch of mathematics, the
concept of an
injective cogenerator is
drawn from
examples such as
Pontryagin duality.
Generators are...
- Z: the
direct sum of
injective modules is
injective because the ring is Noetherian, and the
quotients of
injectives are
injective because the ring is hereditary...