(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup
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.
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| Format: | Article |
| Language: | English |
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Shahid Beheshti University
2021-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | https://cgasa.sbu.ac.ir/article_101196_32512c4c16fbf43da33f37078eb2c748.pdf |