2006/06/07 by Wu Zhixiang, Zhixiang, Wu
Mathematics · #16A30 #16A64 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:16A30 #msc:16A64
paper · pdf · doi:10.48550/arxiv.math/0606158
13 pages, no figures
arxiv created 2006/06/07 · arxiv updated 2009/12/01
The rings whose simple right modules are absolutely pure are called right SAP-rings. We give a new characterization of right SAP rings, right V rings, and von Neumann regular rings. We also obtain a new decomposition theory of right selfinjective von Neumann regular rings. The relationships between SAP-rings, V-rings, and von Neumann regular rings are explored. Some recent results obtained by Faith are generalized and the results of Wu-Xia are strengthened.