Multiplicative lattices, idempotent endomorphisms, and left skew braces.

Autor: Facchini, Alberto, Pompili, Mara
Předmět:
Zdroj: Journal of Algebra & Its Applications; Jul2024, Vol. 23 Issue 8, p1-24, 24p
Abstrakt: We show that, making use of multiplicative lattices and idempotent endomorphisms of an algebraic structure A , it is possible to derive several notions concerning A in a natural way. The multiplicative lattice necessary here is the complete lattice of congruences of A with multiplication given by commutator of congruences. Our main application is to the study of some notions concerning left skew braces. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index