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Ternary mappings of triangular algebras

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Abstract

We take a categorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied.

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Acknowledgements

The first and second authors are supported by the Junta de Andalucía and Fondos FEDER, jointly, through projects FQM-336, UMA18-FEDERJA-119 and FQM-7156 and also by the Spanish Ministerio de Economía y Competitividad and Fondos FEDER, jointly, through project PID2019-104236GB-I00 and MTM2016-76327-C3-1-P. The third and fourth authors were supported by a CSUR grant from the NRF, the National Research Foundation of South Africa. The third author thanks the Departmento de Álgebra, Geometría y Topología de la Universidad de Málaga (Spain) for its hospitality during her visit from June to July 2017. The authors thank the referee for his/her suggestions.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Escuela de Ingenierías Industriales, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Dolores Martín Barquero

  2. Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Cándido Martín González

  3. Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa

    Juana Sánchez-Ortega & Morgan Vandeyar

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  1. Dolores Martín Barquero
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  2. Cándido Martín González
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  3. Juana Sánchez-Ortega
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  4. Morgan Vandeyar
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Correspondence to Juana Sánchez-Ortega.

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Martín Barquero, D., Martín González, C., Sánchez-Ortega, J. et al. Ternary mappings of triangular algebras. Aequat. Math. 95, 841–865 (2021). https://doi.org/10.1007/s00010-021-00797-8

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  • DOI: https://doi.org/10.1007/s00010-021-00797-8

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