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Preliminaries on Lattice Isomorphisms

  • Lev N. Shevrin
  • Alexander J. Ovsyannikov
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 379)

Abstract

Topics in examining lattice isomorphisms are grouped round a few basic problems. A list of these problems is given in Subsection 30.2 (beforehand, in Subsection 30.1, all necessary definitions are formulated); they concern an arbitrary fixed class A of semigroups. In investigations, many popular classes of semigroups have played the role of A The results of these investigations are reflected in Chapters X–XIV (see also Subsection IX.4); for the classes of semigroups considered there, as a rule, all the mentioned basic problems are solved.

Keywords

Inverse Semigroup Commutative Semigroup Rectangular Band Lattice Isomorphism Cancellative Semigroup 
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 1996

Authors and Affiliations

  • Lev N. Shevrin
    • 1
  • Alexander J. Ovsyannikov
    • 1
  1. 1.Department of MathematicsUral State UniversityEkatarinburgRussia

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