1. In mathematics, groups equipped with a total order that is compatible with the group operation, where every non-empty subset has a least element
Well-ordered groups are important in abstract algebra and order theory.
Grupos bem-ordenados são importantes em álgebra abstrata e teoria da ordem.
2. Groups with a well-ordering relation that respects the algebraic structure
The study of well-ordered groups helps in understanding ordered algebraic structures.
O estudo de grupos bem-ordenados ajuda na compreensão de estruturas algébricas ordenadas.