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<p>In this paper, by characterizing the connected components of the prime spectrum (the set of all prime ideals) of a De Morgan residuated lattice, we define and investigate the Pierce sheaf representation of a De Morgan residuated lattice. Among other results, by using the Pierce stalks, we give some characterizations for Stonean residuated lattices, involution residuated lattices, and separated residuated lattices.</p>

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On the Pierce sheaf representation of De Morgan residuated lattices

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Esmaeil Rostami,
  • Shokoofeh Ghorbani

摘要

In this paper, by characterizing the connected components of the prime spectrum (the set of all prime ideals) of a De Morgan residuated lattice, we define and investigate the Pierce sheaf representation of a De Morgan residuated lattice. Among other results, by using the Pierce stalks, we give some characterizations for Stonean residuated lattices, involution residuated lattices, and separated residuated lattices.