2008/02/04 by Christian Lomp, Lomp, Christian, Engi̇n Büyükaşık +2
Computer Science · Mathematics · Neuroscience · #16D10 #16L30 #Advanced Algebra and Logic #Axon Guidance and Neuronal Signaling #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D10 #msc:16L30
paper · pdf · doi:10.48550/arxiv.0802.0477
arxiv created 2008/02/04 · openalex publication_date 2008/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It follows from a recent paper by Ding and Wang that any ring which is generalized supplemented as left module over itself is semiperfect. The purpose of this note is to show that Ding and Wang's claim is not true and that the class of generalized supplemented rings lies properly between the class of semilocal and semiperfect rings. Moreover we rectify their claim by introducing a wider notion of local submodules.