2017
Том 69
№ 9

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Codecomposition of a Transformation Semigroup

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

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Abstract

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.

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