Title of article :
(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup
Author/Authors :
Mary, Xavier Laboratoire Modal’X - Université Paris Nanterre, France
Abstract :
We prove that the (b, c)-inverse and the inverse along an element
in a semigroup are actually genuine inverse when considered as morphisms
in the Schützenberger category of a semigroup. Applications to the Reverse
Order Law are given.
Keywords :
Generalized inverses , Green’s relations , Reverse Order Law
Journal title :
Categories and General Algebraic Structures with Applications
