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<p>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.</p>

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The prime spectrum of \(\ell \)-groups and MV-algebras

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月22日

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  • Giuseppina G. Barbieri,
  • Antonio di Nola,
  • Giacomo Lenzi

摘要

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.