Nil-extensions of simple and right $\pi$-inverse ordered semigroups
| Autor: | Jamadar, A. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | An ordered semigroup $S$ is right $\pi$-inverse if it is $\pi$-inverse but not conversely. So the question arises under what condition the converse holds. In this paper we study nil-extensions of simple and right $\pi$-inverse ordered semigroups and prove that $S$ is right $\pi$-inverse if and only if $S$ is $\pi$-inverse in a $t$-Archimedean ordered semigroup. Moreover, we characterize complete semilattice of nil-extensions of simple and right $\pi$-inverse ordered semigroups. Comment: arXiv admin note: text overlap with 2407.14569; text overlap with arXiv:1701.07189, arXiv:1701.07185 by other authors |
| Databáze: | arXiv |
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