On right $π$-inverse ordered semigroups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910536563687424 |
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| author | Jamadar, A. |
| author_facet | Jamadar, A. |
| contents | Here we introduce the notion of (left, right) $π$-$t$-simple, right $π$-inverse ordered semigroups and discuss characterizations and relationships concerning them. Semilattice decomposition of left $π$-$t$-simple ordered semigroups has been given here. Furthermore, we study an interrelation between the generalized Green's relations and the class of semigroups which are semilattices of right $π$-$t$-simple ordered semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14569 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On right $π$-inverse ordered semigroups Jamadar, A. Group Theory 20M10, 06F05 Here we introduce the notion of (left, right) $π$-$t$-simple, right $π$-inverse ordered semigroups and discuss characterizations and relationships concerning them. Semilattice decomposition of left $π$-$t$-simple ordered semigroups has been given here. Furthermore, we study an interrelation between the generalized Green's relations and the class of semigroups which are semilattices of right $π$-$t$-simple ordered semigroups. |
| title | On right $π$-inverse ordered semigroups |
| topic | Group Theory 20M10, 06F05 |
| url | https://arxiv.org/abs/2407.14569 |