On the ranks of idempotent matrices over skew semifields

被引：0
|
作者：
S. N. Il’in
机构：
[1] Kazan Federal University,
来源：
Mathematical Notes | 2012年 / 91卷
关键词：
idempotent matrix; rank; skew semifield; (weakly) additively idempotent skew semifield; (weakly) additively cancellable skew semifield;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
As is well known, every positive idempotent matrix is of rank 1. It is proved that idempotent matrices without zeros have this property over many skew semifields, and all these skew semifields are described.
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页码：782 / 788
页数：6
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