Well-connected residuated lattices and residually finite residuated lattices

• 作者： Yang Jiang ¹ Wang Juntao ² Xia Changchun ³
• 作者单位：
  1.  School of Mathematics, Northwest University
  2.  School of Science, Xi’an Shiyou University
  3.  School of Mathematics and Statistics, Northwestern Polytechnical University
• 通讯作者： Xia Changchun  Email:xiachangchun@xjtu.edu.cn
• 提交时间：2023-06-20

摘要: The aim of this paper is to study well-connected residuated lattices and residually finite residuated lattices. So far, well-connected residuated lattices not only a main tool for studying RLsi but also a subdirect irreducible representation object of residuated lattices. In this paper we both investigate the above two aspects by using some di#11;erent methods. Finally, we introduce the residually finite residuated lattices and characterize them from algebraic, logical and topological perspectives, respectively.

• 来自： Jiang Yang
• 分类： 数学 >> 数学（综合） 数学 >> 逻辑
• 投稿状态： 未投稿
• 引用： ChinaXiv:202306.00648 (或此版本 ChinaXiv:202306.00648V1)
  doi:10.12074/202306.00648
  CSTR:32003.36.ChinaXiv.202306.00648.V1
• 推荐引用方式： Yang Jiang ,Wang Juntao,Xia Changchun.(2023).Well-connected residuated lattices and residually finite residuated lattices.null.[ChinaXiv:202306.00648] (点此复制)