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 cla...

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Bibliographic Details
Date:2013
Main Authors: Sabbaghan, M., Ayatollah Zadeh Shirazi, F., Hosseini, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165713
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Codecomposition of a Transformation Semigroup / M. Sabbaghan, F. Ayatollah Zadeh Shirazi, A. Hosseini // Український математичний журнал. — 2013. — Т. 65, № 11. — С. 1506–1514. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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).