Codecomposition of a Transformation Semigroup
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).
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 11, pp 1670-1680.
Citation Example: Hosseini A., Sabbaghan M., Shirazi F. Ayatollah Zadeh Codecomposition of a Transformation Semigroup // Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1506–1514.