In this paper, it is proved that for λ > 1, an additive map that strongly preserves the set of λ-scrambling matrices over the Boolean semiring B is a bijection. The general form of such a map over any antinegative commutative semiring with identity and without zero divisors is characterized. Bibliography: 20 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 482, 2019, pp. 231–243.
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Maksaev, A.M. Maps that Strongly Preserve λ-Scrambling Matrices. J Math Sci 249, 263–270 (2020). https://doi.org/10.1007/s10958-020-04940-9
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DOI: https://doi.org/10.1007/s10958-020-04940-9