半群的斷面和偏序.pdf

1、江西師范大學碩士學位論文半群的斷面和偏序姓名：劉海軍申請學位級別：碩士專業(yè)：基礎數學指導教師：郭小江20090501AbstractInthisthesis，somespecialsubclassofabundantsemigroupsarestudiedandalsothenaturalpartialordersareinvestigatedonwppandwrppsemigroupsThisthesisisdividedintoth

2、reeChapters，andeachChapterisanintegratedpaperInChapter1，weexploreabundantsemigroupswhicharedisjointunionsofmultiplicativeadequatetranversalsAfterobtainingsomepropertiesofsuchsemigroup，weprovethatanabundantsemigroupisadis

3、jointunionofmultiplicativeadequatetransversalsifandonlyifitisisomorphictothedirectproductofarectangularbandandanadequatesemigroupTheaimofChapter2istoinvestigateakindofpartialordersonwppsemi—groups，whicharetheverygenerali

4、zationsofonesstudiedbyLawsonIProcEdinburghMathSoc，，30(1987)，169—1861Aftergivingsomecharacterizationsandproperties，wedeterminewhenthepartialordersarecompatiblewithrespecttothemultiplication—Chapter3isdedicatedtothestudyof

5、Lawson7Sorder≤凹￡onwrppsemi。groupsAfterobtainingsomepropertiesof≤伽，wedeterminewhenS刪isleft(right)compatiblewiththemultiplicationTheseresultsextendanden。richtherelatedresultsofLawsonandGUO—Luoonabundantsemigroups，ofGuo—Shu

6、monrppsemigroupsandofLiu—GuoonwppsemigroupsKeywords：abundantsemigroup；adequatetransversal；multiplicativeade—quatetransversal；[1eft；right]normalband；wppsemigroups；naturalpartialorder；wrppsemigroups；partialorder；compatibil