von Neumann regular modules

Jayaram C., TEKİR Ü.

COMMUNICATIONS IN ALGEBRA, vol.46, no.5, pp.2205-2217, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.1080/00927872.2017.1372460
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2205-2217
  • Keywords: Noetherian von Neumann regular module, pure submodule, simple module, von Neumann regular element, von Neumann regular module, von Neumann regular ring, weak idempotent, Primary: 06F10, Secondary: 06B99, 13F05, 13E05, 13C99, MULTIPLICATION MODULES, RINGS
  • Marmara University Affiliated: Yes

Abstract

In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules. Further, we investigate the relations between von Neumann regular modules and other classical modules. Finally, we characterize Noetherian von Neumann regular modules.