Title of article :
ϕ-ALMOST DEDEKIND RINGS and Φ-ALMOST DEDEKIND MODULES
Author/Authors :
Rahmatinia, M. Department of Mathematics - University of Mohaghegh Ardabili, Ardabil, Iran , Yousefian Darani, A. Department of Mathematics - University of Mohaghegh Ardabili, Ardabil, Iran
Abstract :
The purpose of this paper is to introduce some new classes of rings and modules that are closely related to the classes of almost Dedekind domains and almost Dedekind modules. We introduce the concepts of ϕ-almost Dedekind rings and Φ-almost Dedekind modules and study some properties of this classes. In this paper we get some equivalent conditions for ϕ-almost Dedekind rings and Φ-almost Dedekind modules and obtain the relationship between ϕ-almost Dedekind rings and Φ-almost Dedekind modules.
Keywords :
ϕ-almost Dedekind ring , Phi-Dedekind module , almost Dedekind module , ϕ-Dedekind ring Phi
Journal title :
Journal of Algebraic Systems
