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Semigroups with Complementable Subsemigroups

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

Abstract

Another well-known type of restriction for a lattice is presented by different conditions of complementability. In this chapter we focus our attention on two main conditions of this type: that of being a complemented lattice and that of being a relatively complemented lattice. Here, along with SubS, the semilattice Sub S is considered as well. General reasons for considering Sub S were noted in Subsections 4.1 and 4.3.

Keywords

Maximal Subgroup Simple Semigroup Semi Group Torsion Class Idempotent 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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