(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup

نویسندگان

1 Laboratoire Modal’X, Université Paris Nanterre, France

doi
10.52547/cgasa.15.1.255
چکیده

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.