Identities on the Dimensions of the Spaces for the Linear Mappings over the Skew Field and its Applications
Received:October 10, 1988  
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Tu Boxun Fudan Uni versi ty
Shanghai 
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Abstract:
      This paper provides some identities on the dimensions of the image space as well as the null space of the linear mapping over the skew field, and gives se-veral applications involving the rank of a matrix over the skew field , one of the interesting applications is to chavacterize some important matrices by using the identities for the rank of a matrix.
Citation:
DOI:10.3770/j.issn:1000-341X.1990.03.002
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