,Projection Idempotents in Nearrings rn

• 作 者: Gary L. Peterson
• 机 构: Department of Mathematics and Statistics James Madison University, Harrisonburg, Virginia 22807, USA
• 出 处: 代数集刊（英文版）
• 发表日期: 2003年2期
• 关键词: nearring endomorphism nearring

Let R be a nearring and G a faithful R-module. In this paper, we study the existence of idempotents in R mapping G onto a subgroup H of G that acts as the identity on H in two settings. One is when H is an R-ideal of G. The other is when H is a complement to an R-ideal K of G.