Cohomology, Extensions and Automorphisms of Skew Braces
نویسندگان
چکیده
The second cohomology group of a left skew brace with coefficients in trivial non-trivial actions is defined, its connection extensions by braces established and Wells' like exact sequence relating the inducible automorphisms an extension constructed.
منابع مشابه
BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS
A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2024
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2023.107462