gw-prime submodules

Bilgin Z., Oral K. H., TEKİR Ü.

BOLETIN DE MATEMATICAS, vol.24, no.1, pp.19-27, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2017
  • Journal Name: BOLETIN DE MATEMATICAS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Academic Search Premier, Fuente Academica Plus, zbMATH, DIALNET
  • Page Numbers: pp.19-27
  • Marmara University Affiliated: Yes

Abstract

In this work, gw-prime submodules of a module over a commutative ring with identity are defined. This class of submodules is a generalization of weakly prime submodules. After examining general properties of gw-prime submodules, their relation with valuation modules are investigated.