Some Characterizations of GVNL RingsOA北大核心CSTPCD
Some Characterizations of GVNL Rings
A ring R is called a GVNL-ring if a or 1 - a is π-regular for every a ∈ R,as a common generalization of local and π-regular rings.It is proved that if R is a GVNL ring,then either (1 -e)R( 1 -e) or eRe is a π-regular ring for every idempotent e of R.We prove that the center of a GVNL ring is also GVNL and every abelian GVNL ring is SGVNL.The formal power series ring R[x] is GVNL if and only if R is a local ring.
YING Zhi-ling
College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, China
数理科学
GVNL ringVNL ringregular ringlocal ring
GVNL ringVNL ringregular ringlocal ring
《南京邮电大学学报（自然科学版）》 2011 (5)
121-123,3
The project is supported by the grant of National Natural Science Foundation of China (10971024) and the Nanjing University of Posts and Telecommunications (NY209022)
评论