The multiplicative lattices we will consider are those defined in A. Facchini, C. A. Finocchiaro and G. Janelidze, Abstractly constructed prime spectra, Algebra universalis 83(1) (2022). Multiplicative lattices yield the natural setting in which several basic mathematical questions concerning algebraic structures find their answer (Zariski spectrum, nilpotency, solvability, abelian algebraic structures,…) We will consider the particular case of skew braces, which appear in connection to the study of the Yang-Baxter equation.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
