• 제목/요약/키워드: generalized transformation semigroups

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Generalized Transformation Semigroups Whose Sets of Quasi-ideals and Bi-ideals Coincide

  • Chinram, Ronnason
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.161-166
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    • 2005
  • Let BQ be the class of all semigroups whose bi-ideals are quasi-ideals. It is known that regular semigroups, right [left] 0-simple semigroups and right [left] 0-simple semigroups belong to BQ. Every zero semigroup is clearly a member of this class. In this paper, we characterize when generalized full transformation semigroups and generalized Baer-Levi semigroups are in BQ in terms of the cardinalities of sets.

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PRODUCTS OF T-GENERALIZED STATE MACHINES AND T-GENERALIZED TRANSFORMATION SEMIGROUPS

  • Cho, Sung-Jin;Kim, Jae-Gyeom;Kim, Youn-Hee
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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    • pp.66-70
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    • 1996
  • We investigate some of algebraic properties of T-generalized state machines, T-generalized transformation semigroups, coverings of T-generalized state machines and T-generalized transformation semigroups.

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Eventually Regular Regressive Generalized Transformation Semigroups

  • Wasanawichit, Amorn;Phongpattanacharoen, Teeraphong;Kemprasit, Yupaporn
    • Kyungpook Mathematical Journal
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    • 제45권4호
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    • pp.511-518
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    • 2005
  • Necessary and sufficient conditions have been provided for some standard regressive transformation semigroups on a poset to be eventually regular. Our main purpose is to generalize this result by characterizing when their generalized semigroups are eventually regular.

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DECOMPOSITIONS OF GENERALIZED TRANSFORMATION SEMIGROUPS

  • Cho, Sung-Jin;Kim, Jae-Gyeom
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.227-238
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    • 1999
  • We introduce several decompositons of generalized trans-formation semigroups and investigate some of their algebraic struc-tures.