Multiplicative lattices, idempotent endomorphisms, and left skew braces
Alberto Facchini, Mara Pompili · Journal of Algebra and Its Applications · 2023
We show that, making use of multiplicative lattices and idempotent endomorphisms of an algebraic structure [Formula: see text], it is possible to derive several notions concerning [Formula: see text] in a natural way. The multiplicative lattice necessary here is the complete lattice of congruences of [Formula: see text] with multiplication given by commutator of congruences. Our main application is to the study of some notions concerning left skew braces.