The prime spectrum of an L-algebra

2022/06/02 by Rump, W., Vendramin, L. · 1 citation
#03B47 #03G10 #03G12 #03G20 #06D20 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2206.01001

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.

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• L-algebras and their ideals: from simplicity to semidirect products

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