QT AG-Modules whose h-Pure-S-High Submodules Have Closure

作     者：Mohd Noman ALI Vinit Kumar SHARMA Ayazul HASAN Mohd Noman ALI;Vinit Kumar SHARMA;Ayazul HASAN

作者机构：Department of Mathematics Shri Venkateshwara University College of Applied Industrial Technology Jazan University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2024年第44卷第1期

页      面：18-24页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：QTAG-modules closures h-pure-S-high submodules 

摘      要：A right module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules.This article considers the closure of h-pure-S-high submodules of QTAG-modules.Here,we determine all submodules S of a QTAG-module M such that each closure of h-pure-S-high submodule of M is h-pure-■-high in■.A few results of this theme give a comparison of some elementary properties of h-pure-S-high and S-high submodules.