Modular elements in the lattice of monoid varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918282560274432 |
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| author | Gusev, Sergey V. |
| author_facet | Gusev, Sergey V. |
| contents | An element $x$ of a lattice $L$ is modular if $L$ has no five-element sublattice isomorphic to the pentagon in which $x$ would correspond to the lonely midpoint. In the present work, we classify all modular elements of the lattice of all monoid varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular elements in the lattice of monoid varieties Gusev, Sergey V. Group Theory Primary 20M07, secondary 08B15 An element $x$ of a lattice $L$ is modular if $L$ has no five-element sublattice isomorphic to the pentagon in which $x$ would correspond to the lonely midpoint. In the present work, we classify all modular elements of the lattice of all monoid varieties. |
| title | Modular elements in the lattice of monoid varieties |
| topic | Group Theory Primary 20M07, secondary 08B15 |
| url | https://arxiv.org/abs/2511.06358 |