直積群 的英文怎麼說
中文拼音 [zhíjīqún]
直積群
英文
direct product group-
Isomorphic representations of cyclic groups and their direct product
循環群與循環群直積的同構表示This article proves that a finite cyclic group can be isomorphically represented by direct product of some cyclic groups
摘要本文運用基礎代數中有關循環群、直積、同構等理論，證明了一個循環群可以用另一組循環群的直積形式來同構表示。Semidirect products of two semigroups to be completely archimedean semigroups
完全阿基米德半群的半直積What we do at this aspect are : firstly, we describe the permutation symmetry of the structure of some special networks and the corresponding attractor sets with some geometric graphs in euclidean space, which are called attractors graph and geometrized structure graph of the networks respectively ; the geometrizing conditions are also given ; we study the dynamical behavior of the networks using the geometrized structure graph and attractors graph of the network ; moreover, we propose an approach to construct a big - size network with some small - size network with symmetry by the method of direct - sum, direct - produce and semidirect - produce. we also study the dynamical properties " relation between the big - size network and the small - size networks. all those results will provide some theoretical basis for designing a special large - scale network
本文在這方面所做的工作如下：首次將一些特殊網路的結構和吸引子集的置換對稱性用三維歐氏空間中的一些幾何圖來表示，分別稱之為幾何結構圖和吸引子圖；給出了網路對稱性的幾何化條州即相應的對稱性群為可遷群） ：並惜助網路的幾何結構圖和吸弓吁圖分析網路的動力學性質；此外，我們提出了用簡單的具有一定對稱性的小網路按照群的直和、半直積和直積的方式組合成較大的網路的方法，探討了這些小網路和所組成的大網路的一些動力學性質的關系，如穩定態的個數、各穩定態的回憶性質等，為較大網路的設計提供一些理論依據。; bothsides in [ 5 ], [ 6 ], the authors determine structures and the least group congruences. these results make us have a more explicit conception about semidirect products and structures and congruences on them
這些結果使我們對以上這些幺半群的半直積及其結構和同余有了一個比較明確的認識。Semidirect products and wreath products of right group
右群的半直積和圈積Now, recall that a class fof groups is a formation if it is closed under homomorphic images and subdirect products
） u 。我們知道所謂群系，是一個關于同態像閉的和次直積閉的群類。Furthermore, in the second chapter semidirect product of 5 and te is discussed. we have the result that it is also clifford quasi - regular semigroup. besides semidirect product of s and te is semilattice of quasi - groups
進一步，論文又在第h章中討論了半群s和t的子半群te的半直積及其結構，得出了s和t 」的半直積也是clvj 。In [ 4 ], [ 6 ], [ 3 ], [ 5 ], the authors have given us descriptions of semidirect products and wreath products of monoids to be orthodox, quasi - regaular, weak cliff or dian quasi - regular, strongly - inverse semigroups
現有的關於半直積的研究成果大都是在半群含有幺元的條件下得到的。On test elements of direct products of groups
群的直積的檢驗元素In this dissertation, we characterize the congruences on a strong semilattice of semigroups by the congruences on those semigroups and prove that a sublattice of the direct product of the lattices of congruences on those semigroups is isomorphic to a sublattice of the lattice of congruences on the strong semilattice of semigroups
本文，我們主要利用一族半群上的同余刻劃其強半格上的同余，並討論這族半群的同余格的直積的子格與其強半格上的同餘子格的關系。Semidirect and wreath products of two semigroups to be rectangular quasi - regularsemigroups rectangular groups
矩形擬正則半群及矩形群的半直積和圈積The sufficient and necessary condition for the semidirect products of two semigroups to be completely simple semigroups
二個半群的半直積為完全單半群的充要條件In addition, by constructing homomorphisms we obtain structures on semidirect products same or similar to semigroups
另外通過構造同態映射，得到半直積的與半群相類似或相同的結構We now have many ways and means in the study on combination and separation of semigroups, and semidirect product has showed its advantages in the studing combination of semigroups
研究半群的合成與分解有很多方法與手段，而半直積作為研究半群的合成的工具，具有很大的優越性In order to break the confinement, in this paper we manage to study semidirect products of semigroups regardless of identity elements. that is, we get rid of the especially important condition that semigroups have identity elements
為了突破這一局限性，本文就力爭在一般的半群上研究其半直積，即去掉單位元這個特別重要的條件。By describing semidirect products and structures and congruences, we can manage to obtain some structures and congruences on this kind of semigroup. it is under the condition that semigroups have identity elements that most of researches on semidirect products
因此我們可以通過去刻劃半群的半直積及其結構與同余，來刻劃這類半群的某些結構特點及其上的同余。The purpose of this paper is to discuss semidirect products of some quasi - regular semigroups which are strongly - inverse semigroup, clifford quasi - regular semigroup, strongly - e - unitary inverse semigroup and e - unitary inverse semigroup
主要討論了半詳s和t的半直積分別是出v ra擬正則半群、強。逆半群，強。By this means, we get the descriptions of semidirect products to be strongly - inverse semigroup, clifford quasi - regular semigroup, strongly - e - unitary inverse semigroup and e - unitary inverse semigroup. for strongly - e - unitary inverse semigroup, we define it in the third chapter
主要給出了保持半直積的封閉性的充要條件，某些半直積的結構以及半直積上的某些同余與半群上的這類同余之間的關系Some results on the product of anti - fuzzy subgroups of two groups
子群直積的幾個結果分享友人