عنوان :
حلقه هاي بطور ضعيف تميز
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
استاد راهنما :
محمود بهبودي
استاد مشاور :
محمدرضا ودادي
واژه نامه :
به فارسي و انگليسي
توصيفگر ها :
حلقه ي تبادل , حلقه ي گوشه , *C- جبر با رتبه ي حقيقي صفر
استاد داور :
احمد حقاني، عاطفه قرباني
تاريخ ورود اطلاعات :
1395/01/14
چكيده انگليسي :
Weakly Clean Rings Frogh Fazel f fazel@math iut ac ir 2016 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr M Behboodi mbehbood@cc iut ac ir Advisor Dr M R Vedadi mrvedadi@cc iut ac ir 2010 MSC 16U99 16S70 46L05 Keywords Weakly clean ring Exchange ring Clean ring Corner ring regular ring C algebra of real rank zero AbstractThis M Sc thesis is based on the following papersJanez Ster Corner Rings of A Clean Ring Need Note Be Clean Communications in Algebra 40 2012 1595 1604 Janez Ster Weakly Clean Ring Journal of Algebra 401 2014 1 12 All rings throughout this thesis will be non commutative and unital unless otherwise spec ified Rings that do not necessarily have a unit element will be called non unital We denoteby Id R U R J R and Mn R the set of idempotents the set of units the Jacobsonradical and the ring of n n matrices over R Recpectivily An element of a ring is called clean if it is a sum of an idempotent and a unit and a ring R isclean if its every element of R is clean This notion was introduced by Nicholson in Liftingidempotents and exchange rings Trans Amer Math Soc 229 1977 269 278 where it wasproved that every clean ring is an exchenge ring and if idempotents in the ring are centralthen the converse also holds A ring R is an exchange ring if for every a R there exists
استاد راهنما :
محمود بهبودي
استاد مشاور :
محمدرضا ودادي
استاد داور :
احمد حقاني، عاطفه قرباني
