On generalizations of graded second submodules

• Refai, Mashhoor ; Abu-Dawwas, Rashid ^[1]
  1. [1] Yarmouk University

     Yarmouk University

     Jordania

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 6, 2020, págs. 1537-1554
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-06-0092
• Enlaces
  • Texto completo
• Resumen

  • Let G be a group with identity e, R be a commutative G-graded ring with unity 1 and M be a G-graded R-module. In this article, we introduce and study two generalizations of graded second submodules, namely, graded 2-absorbing second submodules and graded strongly 2- absorbing second submodules. Also, we introduce and study the concept of graded quasi 2-absorbing second submodules, that is a generalization for graded strongly 2-absorbing second submodules.

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