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Cogenerator may
refer to: Cogeneration,
simultaneous generation of heat and
electricity Injective cogenerator, in
mathematics More generally, cogenerator...
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category theory, a
branch of mathematics, the
concept of an
injective cogenerator is
drawn from
examples such as
Pontryagin duality.
Generators are objects...
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definition of
Grothendieck categories. The dual
concept is
called a
cogenerator or coseparator. In the
category of
abelian groups, the
group of integers...
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variety of
additional notions are
defined in
terms of them:
Injective cogenerators are
injective modules that
faithfully represent the
entire category of...
- the unit
interval needed for this
construction to work is that it is a
cogenerator of the
category of
compact Hausdorff spaces: this
means that if A and...
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lemma Five
lemma Short five
lemma Mitc****'s
embedding theorem Injective cogenerator Derived category Triangulated category Model category 2-category Dagger...
- Many
algebraically compact modules can be
produced using the
injective cogenerator Q/Z of
abelian groups. If H is a
right module over the ring R, one forms...
- wide
scale grid defection. This is
backed up by
studies in the Midwest.
Cogenerators find
favor because most
buildings already burn fuels, and the cogeneration...
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other words it is a
Grothendieck category and
therefore has an
injective cogenerator I {\displaystyle I} . The
endomorphism ring R := Hom L ( I , I ) {\displaystyle...
- group. The
category has a
projective generator (Z) and an
injective cogenerator (Q/Z).
Given two
abelian groups A and B,
their tensor product A⊗B is...
