پديد آورنده :
مراد زاده دهكردي، علي
عنوان :
حلقه هاي كوته چپ و مدول هاي C-تصويري محض
گرايش تحصيلي :
رياضي محض،حلفه و مدول
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
محمود بهبودي
استاد مشاور :
عاطفه قرباني
توصيفگر ها :
حلقه هاي موضعي، حلقه هاي موروثي، مدول هاي دوري، مدول هايRd-تصويري.
تاريخ نمايه سازي :
1391/7/25
استاد داور :
اميدعلي شهني كرمزاده، منصور معتمدي، محمدرضاودادي.
تاريخ ورود اطلاعات :
1397/08/22
دانشكده :
مهندسي برق و كامپيوتر
كد ايرانداك :
ID446 دكتري
چكيده فارسي :
به فارسي و انگليسي: قابل رويت درنسخه ديجيتالي
چكيده انگليسي :
On Left K the Rings and C Pure Projective Modules o Ali Moradzadeh Dehkordi a moradzadeh@math iut ac ir September 10 2012 Doctor of Philosophy Thesis Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 IranSupervisor Dr M Behboodi mbehbood@cc iut ac ir Advisor Dr A Ghorbani a ghorbani@cc iut ac irDepartment Graduate Program Coordinator Dr Gholam Reza Omidi romidi@cc iut ac ir Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran AbstractIn this thesis we obtain a partial solution to the following question of K the 15 For which orings R is it true that every left or both left and right R module is a direct sum of cyclicR modules Also we generalize the K the Cohen Kaplansky theorem 7 15 One of the ogoals of this thesis is to answer this question when every ideal prime ideal of ring Ris a direct sum of cyclic R modules The structure of such rings is completely described Finally we investigate the structure of cyclically pure or C pure projective modules andthe relationships C pure projective modules with pure projective modules and RD projectivemodules are also studied Keywords Left K the ring Local ring Principal ideal ring Hereditary ring Cyclic module oC pure projective module Pure projective module RD projective module Mathematics Subject Classi cation 2010 16D10 16D40 16D70 16P20 13C05 13E05 1 IntroductionAll rings have identity elements and all modules are unital A ring R is local if R has a uniquemaximal left ideal In this thesis R M will be a local ring with maximal left ideal M A commutative ring R is semilocal if R has a nite number of maximal ideals An Artinian resp Noetherian ring is a ring which is both left and right Artinian resp Noetherian Aprincipal ideal ring is a ring which is both left and right principal ideal ring A semiprimeideal in a ring R is any ideal of R which is an intersection of prime ideals A semiprime ringis any ring in which 0 is a semiprime ideal Also a ring R is said to be left Goldie if R has nite left uniform dimension and the ascending chain condition on its left annihilators Aring R is said to be Goldie if it is both left and right Goldie Also a ring R is said to be leftduo ring if each left ideal of R is two sided A ring R is called a duo ring if it is both left and 1
استاد راهنما :
محمود بهبودي
استاد مشاور :
عاطفه قرباني
استاد داور :
اميدعلي شهني كرمزاده، منصور معتمدي، محمدرضاودادي.
