gw-prime submodules

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.

Autores:
Bilgin, Zehra
Hakan Oral, Kürsat
Tekir, Ünsal
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/61868
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/61868
http://bdigital.unal.edu.co/60680/
Palabra clave:
51 Matemáticas / Mathematics
gw-modules
gw-submodules
weakly prime submodules
valuation modules
valuation rings
gw-módulos
gw-submódulos
submódulos débilmente primos
módulos de valuación
anillos de valuación
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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.