On nonnil-coherent modules and nonnil-Noetherian modules

Abstract

In this article, we introduce two new classes of modules over a ϕ\phi -ring that generalize the classes of coherent modules and Noetherian modules. We next study the possible transfer of the properties of being nonnil-Noetherian rings, ϕ\phi -coherent rings, and nonnil-coherent rings in the amalgamated algebra along an ideal.

Keywords

• nonnil-coherent ring
• ϕ-coherent ring
• ϕ-submodule
• nonnil-coherent module
• nonnil-noetherian ring
• nonnil-noetherian module
• 13a15
• 13c05
• 13e15
• 13f05