Open AccessPu-visible Submodule with their most prominent characteristics
Author(s) -
Abass D. Al-Quraishi,
Buthy. Shihab
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/871/1/012054
Subject(s) - visible spectrum , ideal (ethics) , generalization , residual , pure mathematics , mathematics , physics , mathematical analysis , algorithm , optoelectronics , philosophy , epistemology
In this article, the concept of pu-visible submodules of an S-module Y is introduced which is a generalization of the concept of visible submodule. Some charactrizations and properties are proven. Also the results of pu-visible submodule by a module Y will by presented by giving many results and properties that explain and discuss that concept, one of the most important of them show that the submodule of Y is pu-visible when the residual of it is pu-visible ideal of S and the opposite is achieved. In addition to many results that have been presented.