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Abelian
英音[ əˈbiːlɪən ] 美音[ əˈbiːljən ]
阿贝尔
常用释义
词性释义
n.
(美)艾伯立让(人名)
adj.
(abelian)(群)交换的
例句
全部
阿贝尔
For
a
general
twisted
conjugate
action
,
the
orbit
space
can
be
expressed
as
the
non
abelian
cohomology
of
the
infinite
cyclic
group
.
对于一般的扭共轭作用,其轨道空间可以表示为无限循环群的非交换上同调。
Many
properties
of
twisted
conjugate
actions
can
be
expressed
by
the
language
of
non
abelian
cohomology
,
and vise
versa
.
扭共轭作用的很多性质可以用非交换上同调的语言来表述,反之亦然。
In this paper, the
structures
of
the
finite
groups
in which
every
maximal
subgroup
is either
abelian
or
normal
are
characterized
.
刻画了所有极大子群皆交换或正规的有限群的结构。
The
authors
show
that
the Lies
Theorem
holds
for
Lie
color
algebras
with
a
torsion
-
free
abelian
group
G
.
作者证明了无挠群上的色李代数的李定理,同时,也给出例子说明无挠性是必要的。
He
could
not
understand
Riemann
's
work
on
Abelian
functions
nor
Roch's contributions
in
his
dissertation
.
他不能理解Riemann在Abel函数方面的工作,也不懂Roch论文中的论著。
We
also
prove
that
semi
-Cayley graphs over
finite
abelian
groups
contains
Cayley graphs over
finite
abelian
groups
with
even
order
.
我们还证明了有限阿贝尔群上的半凯莱图包括偶数阶的有限阿贝尔群上的凯莱图。
This includes
Fourier
series
,
the
Fourier
transform
,
and
Fourier
analysis
on
(
some
)
abelian
groups
.
第三部分研究有限阿贝尔群上的傅立叶分析。
Let
G
be an
infinite
group
.
If G has a
normal
elementary
abelian
subgroup
,
then
G
is
irrecognizable
.
设G是无限群,若G存在正规初等交换子群,则G是不可分辨的。
Once
you
have
non
abelian
anyons
,
you
can
generate
a
physical
representation
of
what
is
called
the
braid
group
.
一旦有了非阿贝尔任意子,就可以具体制造出所谓辫群(braidgroup)的表现。
These
two
theorems
will
be derived
later
from
results
on
non
abelian
cohomology
.
这两个定理将在后面由非交换上同调的结果推出。
In
this paper
we
solve
the
following
classical
problem
of Harmonie
Analysis
on
Abelian
Groups
.
本文解决了阿贝尔群上调和分析的如下经典问题:一组有序复数是G~(?。
Finite
Groups
in
Which
Every
Maximal
Subgroup
Is
Either
Abelian
or
Normal
所有极大子群皆交换或正规的有限群
Solving
Competition
Problems
by
Abelian
Transition
应用阿贝尔变换解竞赛题
Some
Necessary
and
Sufficient
Conditions
of
Abelian
Groups
and
Cyclic
Groups
交换群和循环群的若干充分必要条件
Exact
Sequences
and
Homomorphism
Theorems
on
Sheaf
of
Abelian
Groups
交换群层的正合序列与同态定理
Polarization
of
an
Abelian
variety
阿贝尔簇的极化
Endomorphism
of
an
Abelian
variety
阿贝尔簇的自同态
The
order
of
the
automorphism
group
of
finite
abelian
group
有限交换群的自同构群的阶
Some
Public Key
Cryptosystem
Extended
to
Abelian
Group
一些公钥密码体制在阿贝尔群上的扩展
On
the
Sufficient
Conditions
for the
Abelian
关于交换群的充分条件
1·Let R be an abelian ring ( all idempotents of R lie in the center of R), and A be an idempotent matrix over R.
设R是一阿贝尔环(R的所有幂等元都在中心里),A是R上的一幂等阵。
2·By, we prove that a separative Abelian regular ring is an APT ring.
由,还证明了分离的阿贝尔正则环是APT环。
常用短语
Abelian group
Abelian group
- 阿贝尔群;[数]交换群
同义词
adj.
阿贝尔的,交换的(阿贝尔是挪威数学家)
exchanged
commutative
同根词
(词根Abelson)
Abelson
n
阿贝尔森(姓氏)