Cohomology,extensions and automorphisms of skew braces |
| |
| Institution: | 1. Departamento de Matemáticas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile;2. Departamento de Matemáticas, Universidad del Valle, Ciudad Universitaria Meléndez, Calle 13 # 100-00, Código Postal 760032, Cali, Colombia;1. Department of Mathematics, Kansas State University, Mahattan, KS 66506, United States of America;2. Department of Mathematics, Landzhou University, Lanzhou, China;1. Department of Mathematics Education, Incheon National University, Incheon 22012, Korea;2. University of Graz, NAWI Graz, Institute of Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria |
| |
| Abstract: | The second cohomology group of a left skew brace with coefficients in a trivial left brace with non-trivial actions is defined, its connection with extensions of a left skew brace by a trivial brace is established and a Wells' like exact sequence relating the second cohomology group with inducible automorphisms of an extension of left skew braces is constructed. |
| |
| Keywords: | Left skew brace Cohomology Extension Automorphism |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
