• Piergiulio Corsini
  • Violeta Leoreanu
Part of the Advances in Mathematics book series (ADMA, volume 5)


Introduced by Ch.S. Pierce and E. Schröder and independently by R. Dedekind, and afterwards developed by G. Birkhoff, V. Glivenko, K. Menger, J. von Neumann, O. Ore and others, Lattice Theory is a highly topical field, with many applications in mathematics.

Distributive lattices represent the starting point in Lattice Theory; their study is required by more and more frequent situations when distributivity is imposed by applications.

A weaker condition of distributivity is the modularity, introduced by R. Dedekind.

Modularity and distributivity are characterized in this chaper, using hyperstructures, particularly join spaces.


Distributive Lattice Direct Limit Inverse Limit Modular Lattice Direct Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Piergiulio Corsini
    • 1
  • Violeta Leoreanu
    • 2
  1. 1.Department of Mathematics and Computer SciencesUniversity of UdineUdineItaly
  2. 2.Faculty of Mathematics“AI.I Cuza” UniversityIaşiRomania

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