最終更新日:2022/12/24
In this case, we get a strengthened version of the translation of the Wakamatsu lemma to the exact context, and also prove that subcategories which are ℰ-resolving and epimorphic precovering with kernels in their right ℰ-orthogonal class and subcategories which are ℰ-coresolving and monomorphic preenveloping with cokernels in their left ℰ-orthogonal class are determined by each other.
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元となった例文
In
this
case,
we
get
a
strengthened
version
of
the
translation
of
the
Wakamatsu
lemma
to
the
exact
context,
and
also
prove
that
subcategories
which
are
ℰ-resolving
and
epimorphic
precovering
with
kernels
in
their
right
ℰ-orthogonal
class
and
subcategories
which
are
ℰ-coresolving
and
monomorphic
preenveloping
with
cokernels
in
their
left
ℰ-orthogonal
class
are
determined
by
each
other.