Codecomposition of a Transformation Semigroup

  • A. Hosseini
  • M. Sabbaghan
  • F. Ayatollah Zadeh Shirazi


The present paper deals with the concept of “codecomposition” of a transformation semigroup interacting with the phase semigroup. In this way, we distinguish new classes of transformation semigroups with meaningful relations, e.g., we show the class of all distal transformation semigroups ⊂, the class of all transformation semigroups decomposable into distal semigroups ⊂, and the class of all transformation semigroups (here, is strict inclusion).
How to Cite
HosseiniA., SabbaghanM., and ShiraziF. A. Z. “Codecomposition of a Transformation Semigroup”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 11, Nov. 2013, pp. 1506–1514,
Research articles