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<p>We investigate quasivarieties of (distributive) p-algebras. We sharpen some previous results, give a better picture of the subquasivariety lattice, and prove that quasivarieties generated by free p-algebras belong to a rather small quasivariety characterised by excluding all but 3 subdirectly irreducibles.</p>

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Quasivarieties of p-Algebras: Some New Results

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月24日

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  • Tomasz Kowalski,
  • Katarzyna Słomczyńska

摘要

We investigate quasivarieties of (distributive) p-algebras. We sharpen some previous results, give a better picture of the subquasivariety lattice, and prove that quasivarieties generated by free p-algebras belong to a rather small quasivariety characterised by excluding all but 3 subdirectly irreducibles.