Construction of semigroups with some exotic properties

A. Ya Belov, I. A. Ivanov

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


An example of finitely presented associative algebra of intermediate growth, as well as the results which deal with the embedding of recursive presented objects into finitely presented groups was presented. It was shown that a finitely presented semigroup exists with noninteger Gelfand-Kirillov dimension. It was also demonstrated that for any rational α>5, there exists a finitely presented semigroup with Gelfand-Kirillov dimension α. The study show that by means of a manager symbols, the number α can be approximated by the sum of the finite number of power of the heads.

Original languageEnglish
Pages (from-to)49-56
Number of pages8
JournalActa Applicandae Mathematicae
Issue number1-3
StatePublished - Jan 2005
Externally publishedYes


  • Nilrings
  • Nonnilpotent nilsemigroups
  • Recursive presented objects
  • Semigroups with noninteger Gelfand-Kirillov dimension


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