分配半格在各种代数结构的理想格中的表示
Representations of distributive semilattices in ideal lattices of various algebraic structures
摘要：
本文研究了分配半格的维数群理想表示、von Neumann正则环表示、C* 代数和补模格表示之间的关系。我们证明了额外的代表性的结果，表现出进一步的连接与分散的文献在这些不同的主题。
英文摘要：
We study the relationships among existing results about representations of distributive semilattices by ideals in dimension groups, von Neumann regular rings, C*-algebras, and complemented modular lattices. We prove additional representation results which exhibit further connections with the scattered literature on these different topics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
