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In [PR2, Chap. 2 ], we introduced a family of complete congruences on the lattice \(\mathcal {L}(\mathcal{C}\mathcal{R})\) and the lower and upper operators associated with those congruences. These are all powerful tools in the study of the structure of \(\mathcal {L}(\mathcal{C}\mathcal{R})\) . Although a great deal of information about these tools has been provided in [PR2] and earlier chapters, some obvious questions remain unanswered.

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Constructions

  • 章节

  • 发表日期：

    2025年

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  • Mario Petrich,
  • Norman R. Reilly

摘要

In [PR2, Chap. 2 ], we introduced a family of complete congruences on the lattice \(\mathcal {L}(\mathcal{C}\mathcal{R})\) and the lower and upper operators associated with those congruences. These are all powerful tools in the study of the structure of \(\mathcal {L}(\mathcal{C}\mathcal{R})\) . Although a great deal of information about these tools has been provided in [PR2] and earlier chapters, some obvious questions remain unanswered.