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Linear Recurring Sequences over Zero-Sum Semirings

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Non-Associative and Non-Commutative Algebra and Operator Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 160))

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Abstract

Linear recurrences sequences are widely studied over fields rings and modules. In this paper, we introduce the notion of linear recurrence sequence over semirings. After investigating some basics properties, we give a characterization of linear recurrence sequence over zero-sum semirings.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Cheikh Anta Diop University, Dakar, Senegal

    Lamine Ngom, Omar Diankha & Djiby Sow

Authors
  1. Lamine Ngom
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  2. Omar Diankha
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  3. Djiby Sow
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Corresponding author

Correspondence to Lamine Ngom .

Editor information

Editors and Affiliations

  1. Departement de Mathematiques et Informatique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar, Senegal

    Cheikh Thiécoumbe Gueye

  2. Department of Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain

    Mercedes Siles Molina

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Ngom, L., Diankha, O., Sow, D. (2016). Linear Recurring Sequences over Zero-Sum Semirings. In: Gueye, C., Molina, M. (eds) Non-Associative and Non-Commutative Algebra and Operator Theory. Springer Proceedings in Mathematics & Statistics, vol 160. Springer, Cham. https://doi.org/10.1007/978-3-319-32902-4_17

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