W-visible submodules and W-fully visible modules
Autor: | Mahmood S. Fiadh, Buthyna N. Shihab, Munther H. Abed |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: | |
Zdroj: | Iraqi Journal for Computer Science and Mathematics, Vol 1, Iss 1 (2020) |
Druh dokumentu: | article |
ISSN: | 2958-0544 2788-7421 |
DOI: | 10.52866/ijcsm.2019.01.01.005 |
Popis: | In this paper, we presented a special type of submodule named W-visible submodule, which is weaker than the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some non-zero proper ideal I of T. Also, we presented the concept of W-fully visible module, where a module X over a ring T is said to be W-fully visible if any proper submodule of X is W-visible submodule. This concept is considered weaker than the concept of fully visible module. In this study, we achieved numerous results and characteristics that belong to this concept. |
Databáze: | Directory of Open Access Journals |
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