Last Updated
：2025/11/24
Hasse diagram
Noun
(set
theory)
A
diagram
which
represents
a
finite
poset,
in
which
nodes
are
elements
of
the
poset
and
arrows
represent
the
order
relation
between
elements.
Transitivity
of
the
order
relation
is
tacit,
in
other
words,
if
x<y
and
y<z
then
no
arrow
is
drawn
from
x
to
z,
but
if
there
is
no
distinct
z
between
x
and
y
(such
that
x<z<y)
then
an
arrow
is
draw
from
x
to
y.
Japanese Meaning
ハッセ図：有限な順序集合（ポセット）の各要素を点で表し、その順序関係を矢印で示す図。順序関係の推移性（すなわち、ある要素間に中間の要素が存在しない場合にのみ矢印が描かれる）が暗黙の前提となっている。
Sense（1）
(set
theory)
A
diagram
which
represents
a
finite
poset,
in
which
nodes
are
elements
of
the
poset
and
arrows
represent
the
order
relation
between
elements.
Transitivity
of
the
order
relation
is
tacit,
in
other
words,
if
x<y
and
y<z
then
no
arrow
is
drawn
from
x
to
z,
but
if
there
is
no
distinct
z
between
x
and
y
(such
that
x<z<y)
then
an
arrow
is
draw
from
x
to
y.
（ plural ）
Quizzes for review
(set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if x
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See correct answer
Hasse diagram
The professor asked us to draw a Hasse diagram of the set's divisibility order to highlight only the immediate covering relations.
See correct answer
The professor asked us to draw a Hasse diagram of the set's divisibility order to highlight only the immediate covering relations.
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