Zhuk's bridges, centralizers, and similarity
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917210548600832 |
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| author | Willard, Ross |
| author_facet | Willard, Ross |
| contents | This is the second of three papers motivated by the author's desire to understand and explain "algebraically" one aspect of Dmitriy Zhuk's proof of the CSP Dichotomy Theorem. In this paper we extend Zhuk's "bridge" construction to arbitrary meet-irreducible congruences of finite algebras in locally finite varieties with a Taylor term. We then connect bridges to centrality and similarity. In particular, we prove that Zhuk's bridges and our "similarity bridges" (defined in our first paper) convey the same information in locally finite Taylor varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03551 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zhuk's bridges, centralizers, and similarity Willard, Ross Logic Logic in Computer Science 08A05, 08B99 (Primary), 08A70 (Secondary) This is the second of three papers motivated by the author's desire to understand and explain "algebraically" one aspect of Dmitriy Zhuk's proof of the CSP Dichotomy Theorem. In this paper we extend Zhuk's "bridge" construction to arbitrary meet-irreducible congruences of finite algebras in locally finite varieties with a Taylor term. We then connect bridges to centrality and similarity. In particular, we prove that Zhuk's bridges and our "similarity bridges" (defined in our first paper) convey the same information in locally finite Taylor varieties. |
| title | Zhuk's bridges, centralizers, and similarity |
| topic | Logic Logic in Computer Science 08A05, 08B99 (Primary), 08A70 (Secondary) |
| url | https://arxiv.org/abs/2503.03551 |