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

Categories and General Algebraic Structures with Applications

Xavier MARY¹ 

[1] Laboratoire Modal’X, Université Paris Nanterre,France;

关键词: generalized inverses;    green’s relations;    reverse order law;   

DOI  :  10.52547/cgasa.15.1.255

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown