论文标题
在仿期平面中翻译组的痕量保存内态性的偏斜场
Skew-Field of Trace-Preserving Endomorphisms, of Translation Group in Affine Plane
论文作者
论文摘要
在本文中，我们将展示如何使用仿期平面的痕量内态构建偏斜场。在我的论文的早期，我们对仿射平面中的代数和痕量保护的内态代数进行了详细描述，并且我们已经建立了一个关联的统一戒指，为痕量保护痕迹的内态性。在本文中，我们制定并证明了一个重要的引理，使我们能够构建特定的痕量保存内态性，并在我们可以构建每个痕量保护内态的逆向痕量保留的内态性内态。在本文的最后，我们已经证明，痕量保护的内态术以及“加法”和“组成”的动作（在“乘法”中的作用）形成了一个偏斜的场。
In this paper we will show how to constructed an Skew-Field with trace-preserving endomorphisms of the affine plane. Earlier in my paper, we doing a detailed description of endomorphisms algebra and trace-preserving endomorphisms algebra in an affine plane, and we have constructed an associative unitary ring for which trace-preserving endomorphisms. In this paper we formulate and prove an important Lemma, which enables us to construct a particular trace-preserving endomorphism, with the help of which we can construct the inverse trace-preserving endomorphisms of every trace-preserving endomorphism. At the end of this paper we have proven that the set of trace-preserving endomorphisms together with the actions of 'addition' and 'composition' (which is in the role of 'multiplication') forms a skew-field.
