(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 9، دوره 15، شماره 1، مهر 2021، صفحه 255-272 اصل مقاله (747.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.52547/cgasa.15.1.255 | ||
| نویسنده | ||
| Xavier MARY | ||
| Laboratoire Modal’X, Université Paris Nanterre, France | ||
| 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. | ||
| کلیدواژهها | ||
| Generalized inverses؛ Green’s relations؛ Reverse Order Law | ||
| مراجع | ||
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