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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.19010 |
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| _version_ | 1866912726606938112 |
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| author | Shaprynski\vı, Vyacheslav Yu. Skokov, Dmitry V. |
| author_facet | Shaprynski\vı, Vyacheslav Yu. Skokov, Dmitry V. |
| contents | This paper is the first part of a study devoted to description of modular elements in the lattices of semigroup and epigroup varieties. We provide strengthened necessary and sufficient conditions under which a semigroup or epigroup variety constitutes a modular element in its respective lattice. These results refine previously known criteria and lay the groundwork for a complete classification, to be presented in the second part of the study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19010 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular elements of the lattices of varieties of semigroups and epigroups. I Shaprynski\vı, Vyacheslav Yu. Skokov, Dmitry V. Group Theory This paper is the first part of a study devoted to description of modular elements in the lattices of semigroup and epigroup varieties. We provide strengthened necessary and sufficient conditions under which a semigroup or epigroup variety constitutes a modular element in its respective lattice. These results refine previously known criteria and lay the groundwork for a complete classification, to be presented in the second part of the study. |
| title | Modular elements of the lattices of varieties of semigroups and epigroups. I |
| topic | Group Theory |
| url | https://arxiv.org/abs/2511.19010 |