有限全变换半群的主Sn-正规子半群的幂等元秩、同余和自同态.pdf

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©•8Ù:1˜Ù:·‚0Œ+nØuе±9Sn-5fŒ+ïÄyG.1Ù:·‚0†©k'Œ+nØÄVg±9Sn-5fŒ+®kïĤJ.1nÙ:·‚•xÑÌSn-5fŒ+˜•.1oÙ:·‚•xÑÌSn-5fŒ+Ó{.1ÊÙ:·‚•xÑÌSn-5fŒ+gÓ.18Ù:·‚o(†Ð"†©k'?˜ÚïÄ‘K.'…cµSn-5fŒ+;ÌSn-5fŒ+;˜•;nŽ;Ó{;gÓ.IIɲ“‰ŒÆa¬ÆØ©AbstractAbstractLetTnandSnbethe

8、fulltransformationsemigroupandthesymmetricgrouponanitesetXn=f1;2;


;ng,respectively.LetSbeasub-semigroupofTn.If2S,g2Sarearbitrarygivenelements,wehaveg1g2S,sowedeneSbenaSn-normalsub-semigroup([11],[40]).Inthispaper,thecompositionactsfromthelefttotheright,i.e.letSbeatransformationsemigroup,(x)

9、=(x)forall;2Sandx2Xn.Moreover,wedenehg1gjg2SibetheprincipalS-normalsub-nnsemigroupprovidedthattheminimalSn-normalsub-semigroupwhichcontains,where2Tn.LeviandMcFaddenRB.hadclassiedtheSn-normalsub-semigroupsi