T-quasi continuous modules

被引：0

作者：

Adhami, Parastoo ^{[1
]}

Moghaderi, Javad ^{[1
]}

Tercan, Adnan ^{[2
]}

机构：

[1] Univ Hormozgan, Dept Math, Bandar Abbas, Iran

[2] Hacettepe Univ, Dept Math, Beytepe Campus, Ankara, Turkey

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 03期

关键词：

Continuous modules; quasi-continuous modules; T-continuous modules; T-quasi continuous modules; T-extending module; EXTENDING MODULES;

D O I：

10.2989/16073606.2019.1694596

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the t-quasi continuous property for modules. It is proved that M is t-quasi continuous, if and only if M is a direct sum of a Z(2)-torsion module and a quasi-continuos module. Moreover we characterize the rings R for which certain R-modules are t-quasi continuous. We show that every R-module is t-quasi continuous, if and only if R-(N) is t-quasi continuous, if and only if every free R-module is t-quasi continuous.

引用

页码：399 / 409

页数：11

共 10 条

[1]

[Anonymous], 1972, Memoirs Amer. Math. Soc

[2] T-continuous modules [J].