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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De Gruyter
2021
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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) |
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graded second submodules graded prime submodules graded weakly prime submodules 16w50 13a02 Mathematics QA1-939 |
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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 |
_version_ |
1718371761107501056 |