格的双序集与齐次基
Biordered sets of lattices and homogeneous basis
摘要：
本文讨论了由有补模格得到的双序集的性质，并定义了一种利用双序集的三明治元的运算。进一步，我们描述了满足一定条件的双序子集，使得有补模格有齐次基。最后，类似于vonNeumann配位定理，我们利用幂等元的双序集描述了有补模格的配位定理。
英文摘要：
In this paper we discuss the properties of the biordered set obtained from a complemented modular lattice and defines an operation using the sandwich elements of the biordered set. Further we describe a biordered subset satisfying certain conditions, so that the complemented modular lattice admits a homogeneous basis. Finally analogous to von Neumann coordinatization theorem we describe the coordinatization theorem for complemented modular lattice using the biordered set of idempotents.
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