Nil-extensions of simple and right $π$-inverse ordered semigroups
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909265273290752 |
|---|---|
| author | Jamadar, A. |
| author_facet | Jamadar, A. |
| contents | An ordered semigroup $S$ is right $π$-inverse if it is $π$-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 $π$-inverse ordered semigroups and prove that $S$ is right $π$-inverse if and only if $S$ is $π$-inverse in a $t$-Archimedean ordered semigroup. Moreover, we characterize complete semilattice of nil-extensions of simple and right $π$-inverse ordered semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nil-extensions of simple and right $π$-inverse ordered semigroups Jamadar, A. Group Theory 20M10, 06F05 An ordered semigroup $S$ is right $π$-inverse if it is $π$-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 $π$-inverse ordered semigroups and prove that $S$ is right $π$-inverse if and only if $S$ is $π$-inverse in a $t$-Archimedean ordered semigroup. Moreover, we characterize complete semilattice of nil-extensions of simple and right $π$-inverse ordered semigroups. |
| title | Nil-extensions of simple and right $π$-inverse ordered semigroups |
| topic | Group Theory 20M10, 06F05 |
| url | https://arxiv.org/abs/2407.16090 |