域上无限上(下)三角方阵的双侧逆方阵

The Two-side Inverses of Infinite Upper(Lower) Triangular Matrix on a Field

本文对域上一般的无限上 (下 )三角阵的逆进行了研究 ,用紧致性论证给出了任一域K上无限上 (下 )

The inverses of infinite upper (lower)triangular matrix on a Field are discussed.Some necessary and sufficient conditions for the existence of unique two-side inverses of infinite upper (lower) triangular matrix on a field K are proved by compactness arguments.