👉 In mathematics, "quaylike" refers to a mathematical object that is similar in nature to a quasigroup. Quasigroups are groups with additional structure, such as associativity and identity element, but without the requirement for the group to be commutative or have an inverse element. Quay-like objects can also be defined using other structures, such as semigroups or monoids. These structures allow for more flexibility in defining quasigroups that are not necessarily commut