Modules whose partial endomorphisms have a δ-small kernels
Abstract: Let R be a commutative ring and M a unital R-module. A submodule N is said to be δ-small, if whenever N + L = M with M/L is singular, we have L = M. M is called δ-small monoform if any of its partial endomorphism has δ-small kernel. In this paper, we introduce th...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200004009452020-08-13Modules whose partial endomorphisms have a δ-small kernelsDiop,Papa CheikhouDiallo,Abdoul Djibril Small submodules δ-small submodules Monoform modules δ-small monoform modules Artinian principal ideal ring. Abstract: Let R be a commutative ring and M a unital R-module. A submodule N is said to be δ-small, if whenever N + L = M with M/L is singular, we have L = M. M is called δ-small monoform if any of its partial endomorphism has δ-small kernel. In this paper, we introduce the concept of δ-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.4 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400945en10.22199/issn.0717-6279-2020-04-0059 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Small submodules δ-small submodules Monoform modules δ-small monoform modules Artinian principal ideal ring. |
| spellingShingle |
Small submodules δ-small submodules Monoform modules δ-small monoform modules Artinian principal ideal ring. Diop,Papa Cheikhou Diallo,Abdoul Djibril Modules whose partial endomorphisms have a δ-small kernels |
| description |
Abstract: Let R be a commutative ring and M a unital R-module. A submodule N is said to be δ-small, if whenever N + L = M with M/L is singular, we have L = M. M is called δ-small monoform if any of its partial endomorphism has δ-small kernel. In this paper, we introduce the concept of δ-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations. |
| author |
Diop,Papa Cheikhou Diallo,Abdoul Djibril |
| author_facet |
Diop,Papa Cheikhou Diallo,Abdoul Djibril |
| author_sort |
Diop,Papa Cheikhou |
| title |
Modules whose partial endomorphisms have a δ-small kernels |
| title_short |
Modules whose partial endomorphisms have a δ-small kernels |
| title_full |
Modules whose partial endomorphisms have a δ-small kernels |
| title_fullStr |
Modules whose partial endomorphisms have a δ-small kernels |
| title_full_unstemmed |
Modules whose partial endomorphisms have a δ-small kernels |
| title_sort |
modules whose partial endomorphisms have a δ-small kernels |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400945 |
| work_keys_str_mv |
AT dioppapacheikhou moduleswhosepartialendomorphismshavea948smallkernels AT dialloabdouldjibril moduleswhosepartialendomorphismshavea948smallkernels |
| _version_ |
1718439878756139008 |