Projection Idempotents in Nearrings

• 来源期刊: 代数集刊（英文版）
• 关键词: nearring endomorphism nearring
• 年，卷（期）: 2003,（2）
• 页码范围: 209-218
• 页数: 10页
• 语种: 英文

摘要

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.