Yokohama City University and Yokohama National University
Abstract
application/pdfIt is still unknown whether a SF-ring A (every simple left or right A-module is flat) is von Neumann regular. The following non-trivial generalization of regular rings is considered: write "￥A satisfies(*)" if, for any maximal right ideal ＄M＄ of ＄A＄ , every ＄y￥in M,＄ ＄A/yM＄ is a at right A-module. Conditions are given for such rings to be (a) von Neumann regular; (b) left self-injective regular; (c) right Artinian; (d) right Kasch; (e) ELT regular; (f) strongly regular.departmental bulletin pape
