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单词 homomorphism
释义

homomorphism /ˌhɒmə(ʊ)'mɔːfɪz(ə)m//ˌhomə'mɔrfɪzəm/

英汉-汉英词典
n. 同形,同态
词组 | 习惯用语
您要查找的是不是:
  • homomorph n. 同态像
  • homeomorphism n. 异质同晶
  • homomorphic adj. 同形的,同型性(指器官或有机体)的
  • homeomorphic adj. [化]异质同晶的;[数]同胚的,拓扑映射的,连续函数的
homomorphism n. [数] 同态,同形;异质同形
homomorphisms [数] 同态
homomorphism effect 同态
kernel of a homomorphism 同构映射的核;同态的核

网络短语:
induced cohomology homomorphism 导出上同调
lattice ordered group homomorphism 格群同态
star homomorphisms 星同态
unitary homomorphism 单式同态
monoid homomorphism 幺半群同态
coboundary homomorphism 上边缘同态
join-preserving homomorphism 保并同态
two-valued homomorphism 二值同胚
中文百科

同态

Monoid homomorphism f from the monoid (N, +, 0) to the monoid (N, ×, 1), defined by f(x) = 2x. It is injective, but not surjective.
Relationships between different kinds of homomorphisms.   Hom = set of Homomorphisms, Mon = set of Monomorphisms, Epi = set of Epimorphisms, Iso = set of Isomorphisms, End = set of Endomorphism, Aut = set of Automorphisms. Notice that: Mon ∩ Epi = Iso, Iso ∩ End = Aut. The sets (Mon ∩ End) \ Aut and (Epi ∩ End) \ Aut contain only homomorphisms from some infinite structures to themselves.

抽象代数中,同态是两个代数结构(例如群、环、或者矢量空间)之间的保持结构不变的映射。英文的同态(homomorphism)来自希腊语:ὁμός (homos)表示"相同"而μορφή (morphe)表示"形态"。注意相似的词根ὅμοιος (homoios)表示"相似"出现在另一个数学概念同胚的英文(homeomorphism)中。

英语百科

Homomorphism 同态

Monoid homomorphism f from the monoid (N, +, 0) to the monoid (N, ×, 1), defined by f(x) = 2x. It is injective, but not surjective.
Relationships between different kinds of homomorphisms.   Hom = set of Homomorphisms, Mon = set of Monomorphisms, Epi = set of Epimorphisms, Iso = set of Isomorphisms, End = set of Endomorphism, Aut = set of Automorphisms. Notice that: Mon ∩ Epi = Iso, Iso ∩ End = Aut. The sets (Mon ∩ End) \ Aut and (Epi ∩ End) \ Aut contain only homomorphisms from some infinite structures to themselves.

In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the ancient Greek language: ὁμός (homos) meaning "same" and μορφή (morphe) meaning "form" or "shape". Isomorphisms, automorphisms, and endomorphisms are special types of homomorphisms.

近义、反义、联想词
近义词
n.
similarity

联想词
topological拓扑的;algebraic代数的;invariant无变化的,不变的;theorem定理;polynomial多项式;tensor张量;subgroup小群;topology拓扑学;algebra代数学;integers整数;symmetric相称性的,均衡的;
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更新时间:2025/6/17 8:42:53