The prime spectrum of an $L$-algebra

Autor: Rump, W., Vendramin, L.
Rok vydání: 2022
Předmět:
Zdroj: Proc. Amer. Math. Soc. 152 (2024), 3197-3207
Druh dokumentu: Working Paper
DOI: 10.1090/proc/16802
Popis: 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.
Comment: 12 pages. Postprint version
Databáze: arXiv