$ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES$

ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES

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 th...

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Main Authors:	M. Rahmatinia, A. Yousefian Darani
Format:	Article
Language:	English
Published:	Shahrood University of Technology 2021-01-01
Series:	Journal of Algebraic Systems
Subjects:	ϕ-almost dedekind ring ϕ-dedekind ring $\phi$-almost dedekind module $\phi$-dedekind module
Online Access:	http://jas.shahroodut.ac.ir/article_1942_b410589f562e99ad20f1a4a2010554ce.pdf

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spelling	doaj-e211dfb496b74be28e201f090472ff8c2021-02-09T06:56:33ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2021-01-018214115410.22044/jas.2019.8245.14021942ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULESM. Rahmatinia0A. Yousefian Darani1Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran.Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran.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.http://jas.shahroodut.ac.ir/article_1942_b410589f562e99ad20f1a4a2010554ce.pdfϕ-almost dedekind ringϕ-dedekind ring$\phi$-almost dedekind module$\phi$-dedekind module
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. Rahmatinia A. Yousefian Darani
spellingShingle	M. Rahmatinia A. Yousefian Darani ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES Journal of Algebraic Systems ϕ-almost dedekind ring ϕ-dedekind ring $\phi$-almost dedekind module $\phi$-dedekind module
author_facet	M. Rahmatinia A. Yousefian Darani
author_sort	M. Rahmatinia
title	ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
title_short	ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
title_full	ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
title_fullStr	ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
title_full_unstemmed	ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
title_sort	ϕ-almost dedekind rings and $\phi$-almost dedekind modules
publisher	Shahrood University of Technology
series	Journal of Algebraic Systems
issn	2345-5128 2345-511X
publishDate	2021-01-01
description	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.
topic	ϕ-almost dedekind ring ϕ-dedekind ring $\phi$-almost dedekind module $\phi$-dedekind module
url	http://jas.shahroodut.ac.ir/article_1942_b410589f562e99ad20f1a4a2010554ce.pdf
work_keys_str_mv	AT mrahmatinia phalmostdedekindringsandphialmostdedekindmodules AT ayousefiandarani phalmostdedekindringsandphialmostdedekindmodules
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ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES

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