On a Class of Subsemigroup Lattices

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Under study is the structure of subsemigroup lattices of semigroups of elementary types.We establish that the subsemigroup lattices of semigroups of elementary types are lattice-universal.Also, we show that, for a series of classes K of algebraic structures, each subsemigroup latticeof the semigroup of elementary types ofthe structures from K contains the ideal lattice of a free lattice of countable rank as a sublattice.

Original languageEnglish
Pages (from-to)941-952
Number of pages12
JournalSiberian Mathematical Journal
Issue number5
Publication statusPublished - 1 Sep 2020


  • 512.56
  • elementary type
  • lattice
  • Q-universality
  • semigroup


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