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The image of the adjoint mapping

✍ Scribed by Donald W. Robinson

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 211 KB
Volume: 277
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)10058-1

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✦ Synopsis

Let :~ be a commutative ring with l, and let A be an m × n matrix over .8 with determinantal rank r >~ 1. If 1 is in ideal of,8 generated by the r × r minors of A, then every inner inverse of A is in the image of a linear mapping .~(;!)x(,;') ---, .~ ..... that is specified in terms of the classical adjoints of the r × r submatrices of A.

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