Title of article :
Some examples concerning left morphic elements in corner rings
Author/Authors :
Alexander J. Diesl، نويسنده , , W.K. Nicholson، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
An element a of a ring R is left morphic if R/Ra annl(a). If every element of a ring R is left morphic, we call R a left morphic ring. Nicholson and Sánchez Campos prove that, for any left morphic ring R and any idempotent e R, the corner ring eRe is left morphic. In this note, we correct Nicholson and Sánchez Camposʹ elementwise version of this statement, giving examples to illustrate the novel behaviors that arise.
Keywords :
Left morphic rings , Triangular rings , Annihilator duality
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra