Graded I-second submodules

Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded second submodules of M and achieve some releva...

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Autores principales: Bataineh Malik, Abu-Dawwas Rashid
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/4b6f8aa82348494f827e492253b4de5b
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spelling oai:doaj.org-article:4b6f8aa82348494f827e492253b4de5b2021-12-05T14:10:45ZGraded I-second submodules2391-466110.1515/dema-2021-0001https://doaj.org/article/4b6f8aa82348494f827e492253b4de5b2021-02-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0001https://doaj.org/toc/2391-4661Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded second submodules of M and achieve some relevant outcomes.Bataineh MalikAbu-Dawwas RashidDe Gruyterarticlegraded second submodulesgraded prime submodulesgraded weakly prime submodules16w5013a02MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic graded second submodules
graded prime submodules
graded weakly prime submodules
16w50
13a02
Mathematics
QA1-939
spellingShingle graded second submodules
graded prime submodules
graded weakly prime submodules
16w50
13a02
Mathematics
QA1-939
Bataineh Malik
Abu-Dawwas Rashid
Graded I-second submodules
description Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded second submodules of M and achieve some relevant outcomes.
format article
author Bataineh Malik
Abu-Dawwas Rashid
author_facet Bataineh Malik
Abu-Dawwas Rashid
author_sort Bataineh Malik
title Graded I-second submodules
title_short Graded I-second submodules
title_full Graded I-second submodules
title_fullStr Graded I-second submodules
title_full_unstemmed Graded I-second submodules
title_sort graded i-second submodules
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/4b6f8aa82348494f827e492253b4de5b
work_keys_str_mv AT batainehmalik gradedisecondsubmodules
AT abudawwasrashid gradedisecondsubmodules
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