Last Updated
：2025/11/28
direct sum
Noun
Japanese Meaning
数学において、アーベル群、位相空間、加群などの対象の直和、つまりそれらの対象を特定の方法で組み合わせる構造（余積としての性質を持つ場合もある）のことを指す。
Sense（1）
Sense（2）
(linear
algebra)
A
linear
sum
in
which
the
intersection
of
the
summands
has
dimension
zero.
Equivalently,
a
linear
sum
of
two
subspaces,
any
vector
of
which
can
be
expressed
uniquely
as
a
sum
of
two
vectors:
one
vector
belonging
to
the
first
subspace,
and
the
other
vector
belonging
to
the
second
subspace.
（ plural ）
Quizzes for review
(mathematics) coproduct in some categories, like abelian groups, topological spaces or modules
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See correct answer
direct sum
In module theory, the direct sum of two submodules gives their coproduct in the category of modules.
See correct answer
In module theory, the direct sum of two submodules gives their coproduct in the category of modules.
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English - English
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