TY - JOUR ID - 1942 TI - ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Rahmatinia, M. AU - Yousefian Darani, A. AD - Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran. Y1 - 2021 PY - 2021 VL - 8 IS - 2 SP - 141 EP - 154 KW - ϕ-almost Dedekind ring KW - ϕ-Dedekind ring KW - Phi-almost Dedekind module KW - Phi-Dedekind module DO - 10.22044/jas.2019.8245.1402 N2 - 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 $\phi$-almost Dedekind rings and $\Phi$-almost Dedekind modules and study some properties of this classes. In this paper we get some equivalent conditions for $\phi$-almost Dedekind rings and $\Phi$-almost Dedekind modules and obtain the relationship between $\phi$-almost Dedekind rings and $\Phi$-almost Dedekind modules. UR - https://jas.shahroodut.ac.ir/article_1942.html L1 - https://jas.shahroodut.ac.ir/article_1942_b410589f562e99ad20f1a4a2010554ce.pdf ER -