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The prime spectrum of an $L$-algebra
- Source :
- Proc. Amer. Math. Soc. 152 (2024), 3197-3207
- Publication Year :
- 2022
-
Abstract
- 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.<br />Comment: 12 pages. Postprint version
- Subjects :
- Mathematics - Logic
03G12, 06D20, 03G20, 03B47, 03G10
Subjects
Details
- Database :
- arXiv
- Journal :
- Proc. Amer. Math. Soc. 152 (2024), 3197-3207
- Publication Type :
- Report
- Accession number :
- edsarx.2206.01001
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1090/proc/16802