Modules whose partial endomorphisms have a ?-small kernels

• Diop, Papa Cheikhou ^[1] ; Diallo , Abdoul Djibril
  1. [1] Université de Thiès

     Université de Thiès

     Senegal

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. Extra 4, 2020 (Ejemplar dedicado a: Special Issue: Mathematical Computation in Combinatorics and Graph Theory; i), págs. 945-962
• Idioma: inglés
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• Resumen

  • Let R be a commutative ring and M a unital R-module. A submodule N is said to be ?-small, if whenever N + L = M with M/L is singular, we have L = M. M is called ?-small monoform if any of its partial endomorphism has ?-small kernel. In this paper, we introduce the concept of ?-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.