Published January 1, 2020 | Version v1
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Preservers of the left-star and right-star partial orders

  • 1. Ankara Univ, Dept Math, TR-06100 Ankara, Turkey
  • 2. Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey

Description

Let M-n(F) be the set of all n x n matrices over the field F, where F = R or F = C. We characterize maps on M-n(F) which are surjective and preserve either the left-star or the right-star order in both directions, but are not necessarily additive. (C) 2019 Elsevier Inc. All rights reserved.

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