W-visible submodules and W-fully visible modules

Autor: Mahmood S. Fiadh, Buthyna N. Shihab, Munther H. Abed
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