Maps Preserving Idempotence on Matrix Spaces

Yuqiu Sheng and Hanyu Zhang

Journal of Mathematics, 2015, vol. 2015, 1-6

Abstract:

Suppose is an arbitrary field. Let be the number of the elements of . Let be the space of all matrices over , let be the subset of consisting of all symmetric matrices, and let be the subset of consisting of all upper-triangular matrices. Let ; a map is said to preserve idempotence if is idempotent if and only if is idempotent for any and . In this paper, the maps preserving idempotence on , , and were characterized in case .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:428203

DOI: 10.1155/2015/428203

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