Semilattices of Stratified Semigroups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917615487680512 |
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| author | Renshaw, James Warhurst, William |
| author_facet | Renshaw, James Warhurst, William |
| contents | In 1995 Grillet introduced the concept of a stratified semigroup as a kind of generalisation of finite nilsemigroups. We extend these ideas here by allowing a more general Base and describe them in terms of extensions of semigroups by stratified semigroups. We consider semillatices of certain types of group-bound semigroups and also semillatices of Clifford semigroups and show how to describe them as semilattices of these stratified extensions and provide a number of interesting examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11535 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semilattices of Stratified Semigroups Renshaw, James Warhurst, William Group Theory 20M10 In 1995 Grillet introduced the concept of a stratified semigroup as a kind of generalisation of finite nilsemigroups. We extend these ideas here by allowing a more general Base and describe them in terms of extensions of semigroups by stratified semigroups. We consider semillatices of certain types of group-bound semigroups and also semillatices of Clifford semigroups and show how to describe them as semilattices of these stratified extensions and provide a number of interesting examples. |
| title | Semilattices of Stratified Semigroups |
| topic | Group Theory 20M10 |
| url | https://arxiv.org/abs/2305.11535 |