Prime submodules and maximal submodules in the idealization of a module

• Alex Molina ^[1] ; Mario Santiago ^[1] ; Juan Villanueva ^[2]
  1. [1] Universidad Nacional Mayor de San Marcos

     Universidad Nacional Mayor de San Marcos

     Perú

     
  2. [2] Universidade Federal de Mato Grosso

     Universidade Federal de Mato Grosso

     Brasil

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 11, Nº. 1, 2024, págs. 30-41
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • This paper describes certain types of prime submodules and maximal submodules that are found within the idealization of a module. As a consequence of this, it is concluded that every module over a commutative ring with identity element has an extension whose prime spectrum is nonempty.