Pseudocomplementation in rings of continuous functions
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911553255636992 |
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| author | Bezhanishvili, Guram Tressl, Marcus |
| author_facet | Bezhanishvili, Guram Tressl, Marcus |
| contents | We study rings of real-valued continuous functions in terms of pseudocomplementation conditions on various lattices attached to their prime spectrum. We fully characterize pseudocomplementation in all cases and have an almost complete characterization of relative pseudocomplementation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28165 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pseudocomplementation in rings of continuous functions Bezhanishvili, Guram Tressl, Marcus General Topology Commutative Algebra Rings and Algebras 54C30 We study rings of real-valued continuous functions in terms of pseudocomplementation conditions on various lattices attached to their prime spectrum. We fully characterize pseudocomplementation in all cases and have an almost complete characterization of relative pseudocomplementation. |
| title | Pseudocomplementation in rings of continuous functions |
| topic | General Topology Commutative Algebra Rings and Algebras 54C30 |
| url | https://arxiv.org/abs/2603.28165 |