Resumen de Prime submodules and maximal submodules in the idealization of a module

Alex Molina, Mario Enrique Santiago Saldaña, Juan Elmer Villanueva Zevallos

• 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.