The prime spectrum of an $L$-algebra
Logic
2025-05-28 v3
Abstract
We prove that the lattice of ideals of an arbitrary -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 -algebras and characterize prime ideals in topological terms.
Keywords
Cite
@article{arxiv.2206.01001,
title = {The prime spectrum of an $L$-algebra},
author = {W. Rump and L. Vendramin},
journal= {arXiv preprint arXiv:2206.01001},
year = {2025}
}
Comments
13 pages. The statement of Theorem 6 has been corrected. Postprint version