The prime spectrum of an 𝐿-algebra

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 05 Jun 2024Embargo end date: 01 Jan 2022 Belgium English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 152, pages 3,197-3,207 (issn: 0002-9939, eissn: 1088-6826,

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Authors: Rump, Wolfgang; Vendramin, Leandro;

doi: 10.1090/proc/16802 , 10.48550/arxiv.2206.01001

arXiv: 2206.01001

handle: 20.500.14017/bb11729f-e696-4d91-a8c7-2df158465d43

The prime spectrum of an 𝐿-algebra

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Abstract

We prove that the lattice of ideals of an arbitrary L 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 L -algebras and characterize prime ideals in topological terms.

Country

Belgium

Related Organizations

Vrije Universiteit Brussel
Belgium
University of Stuttgart
Germany

Keywords

Partial algebras, \(L\)-algrbra, 03G12, 06D20, 03G20, 03B47, 03G10, Lattice ideals, congruence relations, self-similarity, Ordered semigroups and monoids, FOS: Mathematics, Mathematics - Logic, Logic (math.LO)

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