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.
Rahmatinia, M., & Yousefian Darani, A. (2021). ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES. Journal of Algebraic Systems, 8(2), 141-154. doi: 10.22044/jas.2019.8245.1402
MLA
M. Rahmatinia; A. Yousefian Darani. "ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES". Journal of Algebraic Systems, 8, 2, 2021, 141-154. doi: 10.22044/jas.2019.8245.1402
HARVARD
Rahmatinia, M., Yousefian Darani, A. (2021). 'ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES', Journal of Algebraic Systems, 8(2), pp. 141-154. doi: 10.22044/jas.2019.8245.1402
VANCOUVER
Rahmatinia, M., Yousefian Darani, A. ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES. Journal of Algebraic Systems, 2021; 8(2): 141-154. doi: 10.22044/jas.2019.8245.1402
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