The prime spectrum of an $L$-algebra
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866918034983092224 |
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| author | Rump, W. Vendramin, L. |
| author_facet | Rump, W. Vendramin, L. |
| contents | We prove that the lattice of ideals of an arbitrary $L$-algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. the set of prime ideals) of $L$-algebras and characterize prime ideals in topological terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_01001 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The prime spectrum of an $L$-algebra Rump, W. Vendramin, L. Logic 03G12, 06D20, 03G20, 03B47, 03G10 We prove that the lattice of ideals of an arbitrary $L$-algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. the set of prime ideals) of $L$-algebras and characterize prime ideals in topological terms. |
| title | The prime spectrum of an $L$-algebra |
| topic | Logic 03G12, 06D20, 03G20, 03B47, 03G10 |
| url | https://arxiv.org/abs/2206.01001 |