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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.16669 |
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| _version_ | 1866913402829406208 |
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| author | Bodor, Bertalan Gyenizse, Gergő Maróti, Miklós Zádori, László |
| author_facet | Bodor, Bertalan Gyenizse, Gergő Maróti, Miklós Zádori, László |
| contents | We study the Hobby-McKenzie varieties that constitute a major class investigated thoroughly in the monograph The shape of congruence lattices by Kearnes and Kiss. We obtain new characterizations of the Hobby-McKenzie varieties via compatible reflexive ternary structures. Based on our findings, we prove that in the lattice of interpretability types of varieties, the filter of the interpretability types of Hobby-McKenzie varieties is prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The filter of interpretability types of Hobby-McKenzie varieties is prime Bodor, Bertalan Gyenizse, Gergő Maróti, Miklós Zádori, László Combinatorics 03C05 08B05 We study the Hobby-McKenzie varieties that constitute a major class investigated thoroughly in the monograph The shape of congruence lattices by Kearnes and Kiss. We obtain new characterizations of the Hobby-McKenzie varieties via compatible reflexive ternary structures. Based on our findings, we prove that in the lattice of interpretability types of varieties, the filter of the interpretability types of Hobby-McKenzie varieties is prime. |
| title | The filter of interpretability types of Hobby-McKenzie varieties is prime |
| topic | Combinatorics 03C05 08B05 |
| url | https://arxiv.org/abs/2406.16669 |