Induced Maps on Matrices over Fields

Li Yang, Xuezhi Ben, Ming Zhang and Chongguang Cao

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

Suppose that is a field and are integers. Denote by the set of all matrices over and by the set . Let ( ) be functions on , where stands for the set . We say that a map is induced by if is defined by . We say that a map on preserves similarity if , where represents that and are similar. A map on preserving inverses of matrices means for every invertible . In this paper, we characterize induced maps preserving similarity and inverses of matrices, respectively.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:596756

DOI: 10.1155/2014/596756

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