膜与环的研究

硕士论文

Morphic

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硕士论文

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硕士论文

SomeStudiesonQuasiG-morphicModulesand

MorphicRings

Abstract

Inthispaper,wemainlyde?nequasiG-morphicmodules,discusssomepropertiesofthiskindofthemodule.WealsogivedescriptiononMorphicringunderreductioncondition.Thispaperiscomposedofthreechapters.

Inthe?rstchapter,wemainlyintroducethepropertiesofMorphicrings,MorphicmodulesandG-morphicmodules.

Inthesecondchapter,wemainlyde?nequasiG-morphicmod-ules.AndgivetheconditionunderwhichaleftRmoduleisquasiG-morphicifandonlyifitsendomorphismringisleftquasiG-morphicbydiscussingthepropertiesofself-projectiveandgeneratingkernelsinleftRmodules.FurthermoreweprovesomeresultsofquasiG-morphicmodule.

Inthelastchapter,wegivesomedescriptiononMorphicringunderreductioncondition,anditisprovedthatareducedMorphicringisastronglycleanring.

Keywords:Morphicring;quasiG-morphicmodule;factorofdi-rectproduct;π-regularrings;regularrings;stronglycleanring.

硕士论文

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..........................................................8§1.1Morphic§1.2Morphic§1.3G-morphic

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§2.2Morphic.............................................16.............................19

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..........................................................................26

硕士论文

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