Under the assumption that the rational closure of a group algebra of a left-ordered group in the ring of operators of the module of formal Malcev series is a division ring, we find a canonical form of nonsingular matrices of this division ring.

Bibliography: 10 titles.

中文翻译：

---

矩阵在有序组的组代数的有理闭合上的稳定可分解性

假设正规Malcev级数模的算子环中左序群的组代数的有理封闭是一个除环，我们找到了该除环的非奇异矩阵的规范形式。

参考书目：10个标题。