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).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 11, pp. 1506–1514, November, 2013.
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Sabbaghan, M., Shirazi, F.A.Z. & Hosseini, A. Codecomposition of a Transformation Semigroup. Ukr Math J 65, 1670–1680 (2014). https://doi.org/10.1007/s11253-014-0888-9
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DOI: https://doi.org/10.1007/s11253-014-0888-9