论文标题
关于Hopf-Galois结构与偏斜括号之间的连接
On the connection between Hopf--Galois structures and skew braces
论文作者
论文摘要
我们在A. Koch和P. J. Truman的最新论文上介绍了Hopf-Galois结构和偏斜括号之间众所周知的联系的不同版本。我们表明，涉及该连接的已知结果很容易延续到这一新观点，并且新观点自然而然地出现了。作为一种应用，我们对Hopf（Galois对应关系的溢流性）的研究提供了新的见解，更详细地解释了Bi-Skew Braces在Hopf-Galois理论中的作用。
We present a different version of the well-known connection between Hopf--Galois structures and skew braces, building on a recent paper of A. Koch and P. J. Truman. We show that the known results that involve this connection easily carry over to this new perspective, and that new ones naturally appear. As an application, we present new insights on the study of the surjectivity of the Hopf--Galois correspondence, explaining in more detail the role of bi-skew braces in Hopf--Galois theory.
