On graded primary-like submodules of graded modules over graded commutative rings

• Al-Zoubi, Khaldoun ^[1] ; Al-Dolat, Mohammed ^[1]
  1. [1] Jordan University of Science and Technology

     Jordan University of Science and Technology

     Jordania

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 4, 2021, págs. 859-871
• Idioma: inglés
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• Resumen

  • Let G be a group with identity e. Let R be a G-graded commutative ring andM a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of graded modules. Special attention has been paid, when graded submodules satisfies the gr-primeful property, to and extra properties of these graded submodules.