The graded annihilating submodule graph
In this paper, we study the graded annihilating graph for submodules, representing graded submodules as vertices connected by edges following a specific pattern. Our exploration leads us through the intricacies of this graph, uncovering insights into their connectivity, girth, bipartition, and compl...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-04-01
|
| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2025.2492075 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850171857195499520 |
|---|---|
| author | Mamoon Ahmed Fida Moh’d |
| author_facet | Mamoon Ahmed Fida Moh’d |
| author_sort | Mamoon Ahmed |
| collection | DOAJ |
| description | In this paper, we study the graded annihilating graph for submodules, representing graded submodules as vertices connected by edges following a specific pattern. Our exploration leads us through the intricacies of this graph, uncovering insights into their connectivity, girth, bipartition, and completeness within graded modules, establishing connections between these graded annihilating graph submodules and their ungraded counterparts. We also extend prior work on finite girth conditions of annihilating graphs for modules. Our contributions include two comprehensive criteria for graded modules (Theorem 3.7 and Corollary 3.8), which also apply to non-graded modules with trivial gradation. These findings have implications for this article and future research. |
| format | Article |
| id | doaj-art-45cc0426fca9460bb4a6ef0c522935b2 |
| institution | OA Journals |
| issn | 0972-8600 2543-3474 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj-art-45cc0426fca9460bb4a6ef0c522935b22025-08-20T02:20:12ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742025-04-011910.1080/09728600.2025.2492075The graded annihilating submodule graphMamoon Ahmed0Fida Moh’d1Department of Basic Sciences, Princess Sumaya University for Technology, Amman, JordanDepartment of Basic Sciences, Princess Sumaya University for Technology, Amman, JordanIn this paper, we study the graded annihilating graph for submodules, representing graded submodules as vertices connected by edges following a specific pattern. Our exploration leads us through the intricacies of this graph, uncovering insights into their connectivity, girth, bipartition, and completeness within graded modules, establishing connections between these graded annihilating graph submodules and their ungraded counterparts. We also extend prior work on finite girth conditions of annihilating graphs for modules. Our contributions include two comprehensive criteria for graded modules (Theorem 3.7 and Corollary 3.8), which also apply to non-graded modules with trivial gradation. These findings have implications for this article and future research.https://www.tandfonline.com/doi/10.1080/09728600.2025.2492075Graphgraded ringsgraded modulesannihilating submodule graphgraded annihilating submodule graphgirth |
| spellingShingle | Mamoon Ahmed Fida Moh’d The graded annihilating submodule graph AKCE International Journal of Graphs and Combinatorics Graph graded rings graded modules annihilating submodule graph graded annihilating submodule graph girth |
| title | The graded annihilating submodule graph |
| title_full | The graded annihilating submodule graph |
| title_fullStr | The graded annihilating submodule graph |
| title_full_unstemmed | The graded annihilating submodule graph |
| title_short | The graded annihilating submodule graph |
| title_sort | graded annihilating submodule graph |
| topic | Graph graded rings graded modules annihilating submodule graph graded annihilating submodule graph girth |
| url | https://www.tandfonline.com/doi/10.1080/09728600.2025.2492075 |
| work_keys_str_mv | AT mamoonahmed thegradedannihilatingsubmodulegraph AT fidamohd thegradedannihilatingsubmodulegraph AT mamoonahmed gradedannihilatingsubmodulegraph AT fidamohd gradedannihilatingsubmodulegraph |