ABSTRACT

Von Neumann regularity within a ring of upper triangular matrices is characterized in terms of how such a matrix and an upper triangular generalized inverse can be constructed. In the case of a finite ring, this yields a method for implicitly counting all upper triangular matrices that admit upper triangular generalized inverses.

中文翻译：

---

构造和计数正则三角形矩阵

摘要

上三角矩阵环内的冯·诺伊曼正则性的特征在于如何构造这样的矩阵和上三角广义逆。在有限环的情况下，这产生了一种隐式计算所有允许上三角广义逆的上三角矩阵的方法。