Hopf $\pi $-braces and related algebraic structures
Tom 179 / 2025
Colloquium Mathematicum 179 (2025), 151-170
MSC: Primary 16T25; Secondary 17B38, 16T05
DOI: 10.4064/cm9560-6-2025
Opublikowany online: 24 October 2025
Streszczenie
In this paper, (weak) Hopf $\pi $-braces are introduced, which can be seen as an extension of Hopf braces and Hopf $\pi $-algebras. A construction of Hopf $\pi $-braces from the Radford biproduct Hopf $\pi $-algebra is provided. The relation between a bijective 1-cocycle and a weak Hopf $\pi $-brace is investigated.
