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A Note on Pattern Structures and Their Projections

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Book cover Formal Concept Analysis (ICFCA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9113))

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Abstract

Literature on pattern structures suggests that projections lead again to pattern structures. To clarify the situation, we provide a counterexample. However, we also show that residual projections on pattern structures do indeed induce again pattern structures.

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References

  1. Ganter, B., Kuznetsov, S.O.: Pattern structures and their projections. In: Delugach, H.S., Stumme, G. (eds.) ICCS 2001. LNCS (LNAI), vol. 2120, pp. 129–142. Springer, Heidelberg (2001)

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  5. Kaiser, T.B., Schmidt, S.E.: Some remarks on the relation between annotated ordered sets and pattern structures. In: Kuznetsov, S.O., Mandal, D.P., Kundu, M.K., Pal, S.K. (eds.) PReMI 2011. LNCS, vol. 6744, pp. 43–48. Springer, Heidelberg (2011)

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Authors and Affiliations

  1. Institut Für Algebra, Technische Universität Dresden, Dresden, Germany

    Lars Lumpe & Stefan E. Schmidt

Authors
  1. Lars Lumpe
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  2. Stefan E. Schmidt
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Corresponding author

Correspondence to Lars Lumpe .

Editor information

Editors and Affiliations

  1. Universitat Politècnica de Catalunya, Barcelona, Spain

    Jaume Baixeries

  2. Babeş-Bolyai University, Cluj-Napoca, Romania

    Christian Sacarea

  3. Departamento de Matemática Aplicada, Universidad de Málaga, Malaga, Spain

    Manuel Ojeda-Aciego

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Lumpe, L., Schmidt, S.E. (2015). A Note on Pattern Structures and Their Projections. In: Baixeries, J., Sacarea, C., Ojeda-Aciego, M. (eds) Formal Concept Analysis. ICFCA 2015. Lecture Notes in Computer Science(), vol 9113. Springer, Cham. https://doi.org/10.1007/978-3-319-19545-2_9

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  • DOI: https://doi.org/10.1007/978-3-319-19545-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19544-5

  • Online ISBN: 978-3-319-19545-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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