The prime spectrum of $$\ell $$-groups and MV-algebras
Abstract As a main result, we characterize prime spectra of abelian lattice ordered groups. Further we introduce some categories based on spectral spaces, lattices and Priestley spaces. Then we have a characterization of the variety generated by the Chang MV-algebra and we study this variety. Next we generalize the results to every variety generated by a Komori chain.
Authors
- Giuseppina Barbieri (ORCID: https://orcid.org/0000-0002-6460-1951)
- Giacomo Lenzi (ORCID: https://orcid.org/0000-0002-5599-2604)
- Antonio Di Nola
Institutions
- University of Salerno (IT)
Publication Details
- Journal
- Algebra Universalis
- Published
- 2025-09-22
- DOI
- https://doi.org/10.1007/s00012-025-00905-8
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00