Induced Maps on Matrices over Fields

Suppose that 𝔽 is a field and m,n≥3 are integers. Denote by Mmn(𝔽) the set of all m×n matrices over 𝔽 and by Mn(𝔽) the set Mnn(𝔽). Let fij (i∈[1,m],j∈[1,n]) be functions on 𝔽, where [1,n] stands for the set {1,…,n}. We say that a map f:Mmn(𝔽)→Mmn(𝔽) is induced by {fij} if f is defined by f:[aij]↦[fi...

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Bibliographic Details
Main Authors: Li Yang, Xuezhi Ben, Ming Zhang, Chongguang Cao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/596756
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