论文标题
订生的常规戒指
Biordered Sets of Regular Rings
论文作者
论文摘要
常规半群的一组依恋者被抽象表征为[2]中的常规生物底面集，在[4]中，它显示了如何与互补的模块化晶格相关联的生物底面。冯·诺伊曼（Von Neumann）早些时候已经表明，任何大于3的辅助模块化晶格都可以实现为常规环的主右右右晶格（见[3]）。在这里，我们尝试将这些想法连接起来，以获取一类常规环的生物生物表的特征。
The set of idempotents of a regular semigroup is given an abstract characterization as a regular biordered set in [2], and in [4] it is shown how a biordered set can be associated with a complemented modular lattice. Von Neumann has shown earlier that any complemented modular lattice of order greater than 3 can be realized as the lattice of principal right ideals of a regular ring (see [3]). Here we try to connect these ideas to get a characterization of the biordered sets of a class of regular rings.
