This is a variation of group|Find other variations of group | Read a survey article on varying group
This article defines a semigroup property: a property that can be evaluated to true/false for any given semigroup
View a complete list of semigroup properties
QUICK PHRASES: semigroup where every element has a unique inverse in the semigroup sense (i.e., without reference to neutral elements)
Definition with symbols
A semigroup is termed an inverse semigroup if for every , there is a unique satisfying the conditions and .