Saturations of submodules with respect to subsets of a ring
Abstract Let R be a commutative ring with identity and M a unital R-module. For any submodule N of M and non-empty subset T of R, let (N)={m ∈ M : rm∈ N for some r∈ R\T}. In this article we study conditions under which (N) is a submodule of M and investigate when it...
Guardado en:
| Autores principales: | , |
|---|---|
| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2018
|
| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200213 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| id |
oai:scielo:S0716-09172018000200213 |
|---|---|
| record_format |
dspace |
| spelling |
oai:scielo:S0716-091720180002002132018-05-29Saturations of submodules with respect to subsets of a ringHarehdashti,Javad BagheriMoghimi,Hosein Fazaeli Saturation Prime submodule. Abstract Let R be a commutative ring with identity and M a unital R-module. For any submodule N of M and non-empty subset T of R, let (N)={m ∈ M : rm∈ N for some r∈ R\T}. In this article we study conditions under which (N) is a submodule of M and investigate when it is a union of prime submodules.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200213en10.4067/S0716-09172018000200213 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Saturation Prime submodule. |
| spellingShingle |
Saturation Prime submodule. Harehdashti,Javad Bagheri Moghimi,Hosein Fazaeli Saturations of submodules with respect to subsets of a ring |
| description |
Abstract Let R be a commutative ring with identity and M a unital R-module. For any submodule N of M and non-empty subset T of R, let (N)={m ∈ M : rm∈ N for some r∈ R\T}. In this article we study conditions under which (N) is a submodule of M and investigate when it is a union of prime submodules. |
| author |
Harehdashti,Javad Bagheri Moghimi,Hosein Fazaeli |
| author_facet |
Harehdashti,Javad Bagheri Moghimi,Hosein Fazaeli |
| author_sort |
Harehdashti,Javad Bagheri |
| title |
Saturations of submodules with respect to subsets of a ring |
| title_short |
Saturations of submodules with respect to subsets of a ring |
| title_full |
Saturations of submodules with respect to subsets of a ring |
| title_fullStr |
Saturations of submodules with respect to subsets of a ring |
| title_full_unstemmed |
Saturations of submodules with respect to subsets of a ring |
| title_sort |
saturations of submodules with respect to subsets of a ring |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2018 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200213 |
| work_keys_str_mv |
AT harehdashtijavadbagheri saturationsofsubmoduleswithrespecttosubsetsofaring AT moghimihoseinfazaeli saturationsofsubmoduleswithrespecttosubsetsofaring |
| _version_ |
1718439833668419584 |