证明了除环上秩有限的二无限方阵同逆等价的充要条件是它们的秩相等。

Two rank-finite matrices are same-inverse equivalent if and only if their rank equal is proved.

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讨论除环上无限方阵的秩及分解问题。证明了除环上秩有限的二无限方阵同逆等价的充要条件是它们的秩相等。

Rank and decomposition of infinite matrix over a division ring are discussed. Two rank-finite matrices are same-inverse equivalent if and only if their rank equal is proved.

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