Generalizations of graded second submodules

Let G be a group with identity e. Let R be a graded ring, I a graded ideal of R and M be a G-graded R-module. Let ψ: Sgr(M) → S gr(M) ∪ {∅} be a function, where Sgr(M) denote the set of all graded submodules of M. In this article, we introduce and study the concepts of graded ψ -second submodules an...

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Bibliographic Details
Main Authors:	Ghiasvand Peyman, Farzalipour Farkhonde
Format:	Article
Language:	English
Published:	Sciendo 2021-08-01
Series:	Acta Universitatis Sapientiae: Mathematica
Subjects:	graded second submodule graded ψ-second submodule graded i-second submodule 13a02 16w50
Online Access:	https://doi.org/10.2478/ausm-2021-0009

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spelling	doaj-0f212025cbfc4e98a1cd526710c10ffd2021-09-22T06:13:22ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522021-08-0113116418110.2478/ausm-2021-0009Generalizations of graded second submodulesGhiasvand Peyman0Farzalipour Farkhonde1Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697 Tehran, Iran.Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697 Tehran, Iran.Let G be a group with identity e. Let R be a graded ring, I a graded ideal of R and M be a G-graded R-module. Let ψ: Sgr(M) → S gr(M) ∪ {∅} be a function, where Sgr(M) denote the set of all graded submodules of M. In this article, we introduce and study the concepts of graded ψ -second submodules and graded I-second submodules of a graded R-module which are generalizations of graded second submodules of M and investigate some properties of this class of graded modules.https://doi.org/10.2478/ausm-2021-0009graded second submodulegraded ψ-second submodulegraded i-second submodule13a0216w50
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ghiasvand Peyman Farzalipour Farkhonde
spellingShingle	Ghiasvand Peyman Farzalipour Farkhonde Generalizations of graded second submodules Acta Universitatis Sapientiae: Mathematica graded second submodule graded ψ-second submodule graded i-second submodule 13a02 16w50
author_facet	Ghiasvand Peyman Farzalipour Farkhonde
author_sort	Ghiasvand Peyman
title	Generalizations of graded second submodules
title_short	Generalizations of graded second submodules
title_full	Generalizations of graded second submodules
title_fullStr	Generalizations of graded second submodules
title_full_unstemmed	Generalizations of graded second submodules
title_sort	generalizations of graded second submodules
publisher	Sciendo
series	Acta Universitatis Sapientiae: Mathematica
issn	2066-7752
publishDate	2021-08-01
description	Let G be a group with identity e. Let R be a graded ring, I a graded ideal of R and M be a G-graded R-module. Let ψ: Sgr(M) → S gr(M) ∪ {∅} be a function, where Sgr(M) denote the set of all graded submodules of M. In this article, we introduce and study the concepts of graded ψ -second submodules and graded I-second submodules of a graded R-module which are generalizations of graded second submodules of M and investigate some properties of this class of graded modules.
topic	graded second submodule graded ψ-second submodule graded i-second submodule 13a02 16w50
url	https://doi.org/10.2478/ausm-2021-0009
work_keys_str_mv	AT ghiasvandpeyman generalizationsofgradedsecondsubmodules AT farzalipourfarkhonde generalizationsofgradedsecondsubmodules
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Generalizations of graded second submodules

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