%0 Journal Article %T (b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup %J Categories and General Algebraic Structures with Applications %I Shahid Beheshti University %Z 2345-5853 %A MARY, Xavier %D 2021 %\ 07/01/2021 %V 15 %N 1 %P 255-272 %! (b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup %K Generalized inverses %K Green’s relations %K Reverse Order Law %R 10.52547/cgasa.15.1.255 %X 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. %U https://cgasa.sbu.ac.ir/article_101196_32512c4c16fbf43da33f37078eb2c748.pdf