-
topology (the
universal coefficient theorem for cohomology). For
modules over any ring,
Ext was
defined by
Henri Cartan and
Eilenberg in
their 1956 book Homological...
-
sheaf of O-
modules or
simply an O-
module over a
ringed space (X, O) is a
sheaf F such that, for any open
subset U of X, F(U) is an O(U)-
module and the restriction...
-
extension modules.
Annotated Python-like code is
compiled to C and then
automatically wrapped in
interface code,
producing extension modules that can be...
- Avalanche, the
EXT has four full-size
doors and
seating for five. High-intensity
discharge headlights were
offered for 2003. The
Escalade EXT also appears...
-
generated module M {\displaystyle M} over a
Noetherian ring R {\displaystyle R} is a
cohomological invariant defined by
vanishing of
Ext-
modules grade M...
-
simple modules over a ring R are the (left or right)
modules over R that are non-zero and have no non-zero
proper submodules. Equivalently, a
module M is...
-
injective modules that
faithfully represent the
entire category of
modules.
Injective resolutions measure how far from
injective a
module is in terms...
-
module of
dimension (p,q) over R. Let A be the (super)symmetric
algebra S*(M*) of the dual M* of M. Then an
automorphism of M acts on the
ext module E...
-
There is a
spectral sequence relating the
global Ext and the
sheaf Ext: let F, G be
sheaves of
modules over a
ringed space ( X , O ) {\displaystyle (X...
- }}\end{cases}}} We have
Ext ( G , G ) = G {\displaystyle \operatorname {
Ext} (G,G)=G} and
Ext ( R , G ) = 0 {\displaystyle \operatorname {
Ext} (R,G)=0} , so...
