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Applied Abstract Algebra pp 1–55Cite as

Lattices

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Abstract

In 1854, George Boole (1815–1864) introduced an important class of algebraic structures in connection with his research in mathematical logic. In his honor these structures have been called Boolean algebras. These are a special type of lattices. It was E. Schröder, who about 1890, considered the lattice concept in today’s sense. At approximately the same time, R. Dedekind developed a similar concept in his work on groups and ideals. Dedekind defined in modern terminology modular and distributive lattices, which are types of lattices of importance in applications. The rapid development of lattice theory proper started around 1930 when G. Birkhoff made major contributions to the theory.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Tasmania, Hobart, Tasmania, 7001, Australia

    Rudolf Lidl

  2. Institut für Mathematik, Universität Linz, A-4040, Linz, Austria

    Günter Pilz

Authors
  1. Rudolf Lidl
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  2. Günter Pilz
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© 1984 Springer-Verlag New York Inc.

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Lidl, R., Pilz, G. (1984). Lattices. In: Applied Abstract Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-6465-2_1

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  • DOI: https://doi.org/10.1007/978-1-4615-6465-2_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96166-8

  • Online ISBN: 978-1-4615-6465-2

  • eBook Packages: Springer Book Archive

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