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homomorphism

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homomorphism n.1.同形。2.【生物學】同型性〔指器官或有機體〕。3...

n. 1.同形。 2.【生物學】同型性〔指器官或有機體〕。 3.【植物；植物學】同形體[大小]〔如雌蕊和雄蕊〕。 4.【動物；動物學】成幼同型(＝ homomorphy)。 5.【數學】同態。 短語和例子homomorphic, homomorphous adj. “admissible homomorphism“ 中文翻譯：   容許同態“algebra homomorphism“ 中文翻譯：   代數同態“allowed homomorphism“ 中文翻譯：   容許同態“analytic homomorphism“ 中文翻譯：   解析同態“anti homomorphism“ 中文翻譯：   反異質同形“boolean homomorphism“ 中文翻譯：   布爾同態“boundary homomorphism“ 中文翻譯：   邊緣同態“bundle homomorphism“ 中文翻譯：   叢同態“canonical homomorphism“ 中文翻譯：   標準同態“chain homomorphism“ 中文翻譯：   鏈同態“coboundary homomorphism“ 中文翻譯：   上邊緣同態“complete homomorphism“ 中文翻譯：   完全同態“composition homomorphism“ 中文翻譯：   合成同態“connecting homomorphism“ 中文翻譯：   連通同態“continuous homomorphism“ 中文翻譯：   連續同態“covering homomorphism“ 中文翻譯：   覆蓋同態“crossed homomorphism“ 中文翻譯：   交叉同態“dual homomorphism“ 中文翻譯：   對偶同態“edge homomorphism“ 中文翻譯：   邊緣同態“essential homomorphism“ 中文翻譯：   本質同態“graded homomorphism“ 中文翻譯：   分次同態“group homomorphism“ 中文翻譯：   群同態“homomorphism effect“ 中文翻譯：   異質同晶效應“homomorphism group“ 中文翻譯：   同態群“homomorphicmapping“ 中文翻譯：   同態映射 同形映射“homomorphic vector“ 中文翻譯：   同態矢量

homonym

This paper investigates the closure property of sublogarithmic space - bounded 1 - inkdot alternating pushdown automata with only existential universal states , and shows , for example , that for any function l such that l loglogn and l o , the class of sets accepted by weakly strongly l space - bounded 1 - inkdot two - way alternating pushdown automata with only existential universal states is not closed under concatenation with regular sets , length - preserving homomorphism , and kleene closure Chandra kozen和stockmeyer提出了交替性alternation作為并行計算的一個理論模型。交替式alternating圖靈機是非確定性圖靈機的推廣，它的狀態集合被分為萬能狀態universal state和存在狀態existential state 。非確定性圖靈機可看作只有存在狀態的交替式圖靈機。

With the help of d - homomorphisms and d - antihomomorphisms of d - posets we study the relation between ideals and filters in d - posets in chapter 8 . we also consider the sets of states on d - posets and the relation between sets of states and the poset structure of d - posets . the definitions of supports , local filters and local ideals are also introduced and their interrelation is considered 利用d -同態和d -反同態在第八章我們研究了d -偏序集中的理想和濾子之間的關系， d -偏序集上的態集，以及它們與d -偏序集的偏序結構之間的聯系。

Furthermore , we define a star semimodule and a star subsemimodule ( a subset of m with absorbing property for the operations “ + “ , “ o “ ) . based on this , we introduce star congruences and discuss the homomorphic theorem and some properties of star subsemimodules of m about semimodule homomorphisms . in the end , we construct the free star semimodule over a semiring with a unit 進一步地，我們定義了星半模以及對“ + ”和“ ”都具有吸收性的半模m的子集? ?星子半模，在此基礎上我們引入了半模的星同態和星半模同態以及星同余等概念，討論了半模的同態定理以及星子半模關于半模同態的一些性質

By using the theory of finite fields , the relationship of module operation among difference matrices of a mixed difference matrix is generalized to that of group homomorphism . a new concept of normal mixed difference matrix is proposed . the relationship between normal mixed difference matrix and the construction of orthogonal arrays is discovered ?利用有限域理論，把不同水平差集矩陣之間的取模運算關系推廣為更加廣泛的群同態關系，提出了標準混合差集矩陣的概念，找到了標準混合差集矩陣和混合水西安電子科技大學博士學位論文:正交表的構造方法及其應用平正交表的構造之間的關系，提出了利用標準混合差集矩陣構造正交表的方法且構造了一些新的正交表

This paper deals with the characters of stable states , stabilizable states , stable subsets and sub sets of stabilizable states on the state machine homomorphisms , covering and products of state machines , and studies the stable states , stabilizable states , stable subsets and subsets of stabilizable states of state machines with only one input 摘要主要研究了狀態機的（可）穩定狀態，穩定子集與可穩定狀態子集關于狀態機同態、覆蓋及狀態機的積的性質，并討論了只有一個輸入的狀態機的（可）穩定狀態，穩定子集與可穩定狀態子集。

In this paper , we characterized the natural partial order on the structure of regular semigroup with an inverse transversal . studying the condition about the natural partial order on it . and characterized the homomorphism between regular semigroups , discussing the conditions about the special homomorphism image 給出了有關自然偏序的的兩個重要條件刻劃，對具有逆斷面的正則半群之間的同態進行了刻劃，討論了具有逆斷面的正則半群的特殊同態像的條件。

In this paper , homomorphism issues on rough sets are discussed . lt is proved that the image of homomorphism of the lower approximate set included in the lower approximate set of the corresponding image of homomorphism , and that of upper one equals to that of the upper one 本文繼續研究了群中的粗糙集的同態問題，證明了下近似集的同態象包含于相應同態象的下近似集，上近似集的同態象等于相應同態象的上近似集。

Abstract : we introduce and investigate lower homomorphisms and upper homomorphisms of generalized - continuous lattices . a necessary and sufficient condition for a mapping between compact elements of generalized - algebraic lattices to be extended to a lower homomorphism is established 文摘:引進和研究了廣義連續格的下同態和上同態,建立了廣義代數格緊元素之間的映射擴充為下同態的充要條件。

In first section , the concept of pseudo ideal is raised . then , we discuss the relations of pseudo ideals , kernel of homomorphisms and congruences on a division semiring . and the homomorphic basic theorem , the first and the second isomorphic theorems are proved 第一部分，引入偽理想這一新概念，討論了偽理想，同態核，同余在可除半環中的關系，證明了同態基本定理及第一、二同構定理

Based on upper ( lower ) homomorphisms , we introduce and investigate upper ( lower ) sublattices as well as direct sums of generalized - continuous lattices . the motive is to use them instead of traditional congruence lattices as a new tool of structure problems 基于上、下同態，引進和研究廣義連續格的上、下子格以及直接和諸概念，其目的是用它們取代傳統的同余格作為研究結構問題的新工具。

In this article , we give out that the homomorphism between vertex algebras can uniquely induce the homomorphism between local vertex lie algebras which are constructed from the vertex algebra 摘要進一步討論局部頂點李代數同態與頂點代數同態之間的關系。受到文[ 5 ]中定理6 . 5的啟發，證明了頂點代數之間的同態可惟一地誘導出由它們構造所得的局部頂點李代數之間的同態。

In chapter 1 , we introduce some terminology and notation , and summarize the back - ground and the main contents of this paper . in chapter 2 . we discuss the order homomorphisms and preannihilators of reflexive modules over reflexive operator algebras 設a是hilbert空間h上的自反算子代數， u是任一自反a -模，用u _表示u在跡類算子空間t ( h )中的預零化子。

In section four , by researching the properties of kneser graphs , we construct the homomorphism between the kneser graph and the outerplane graph . so the fr actional chromatic number and chromatic number are obtained 在第四部分中通過對kneser圖的一些性質的考察，在kneser圖與外平面圖之間建立同態關系，從而得到了外平面圖的分數色數與頂點色數。

In some finiteness conditions , we prove that there exists a natural abelian group homomorphism from the grothendieck group of r to the grothendieck group of a . in particular , the homomorphism is splitting if p is quasi - n - tilting 在適當的有限性條件下，我們證明了一個從r的grothendieck群到a的orothendieck群的自然的阿貝爾群同態。

This paper first illustrated a classification of congruence decomposition on n ( 2 , 2 , 0 ) algebra , then discussed the algebraic structure of the quotient algebra and a classification of converse image under the natural homomorphism 摘要對n ( 2 , 2 , 0 )代數給出了一類同余分解，探討了其商代數的代數結構以及自然同態下一類逆象的代數結構。

Functionalism of sociology ( or named social system theory ) and systems science and philosophy have isoembryo relation on basis and homomorphism relation in form and isomorphic relation in contents 社會學中的結構功能主義(又稱社會系統理論)與系統科學和系統哲學有著基礎上同胚，形式上同態和內容上同構的聯系。

In this paper , we use the methods and techinques of the matrix calculus etc . to determine the form of homomorphism of group from psln ( f ) to psln ( k ) with n 3 ( f , k be fields ) 本文是在文獻[ 19 ] ， [ 20 ]研究的基礎上繼續研究，確定了特征為2的域上同維射影特殊線性群的非平凡同態的具體形式。

The database information encryption algorithms based on the theory of private homomorphism is structured based on the mathematic theory of polynomial homomorphism 以數學中多項式同志理論為基礎，研究了秘密同態加密算法。提出了基于秘密同態理論的數據庫信息加密算法。

In the paper [ 5 ] , the concept of fuzzy power group was raised and in paper [ 8 ] [ 9 ] the structure and homomorphism of fuzzy power group was considered 文提出fuzzy冪群的概念討論了fuzzy冪群的結構及其同態問題。文分別討論了fuzzy冪群的性質，結構及分類。