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 the concept of δ-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400945 |
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| Summary: | 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. |
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