Invertibility of Multiplication Modules III - NZJM

New Zealand Journal of Mathematics

Majid M. Ali¹ 

[1] Department of Mathematics and StatisticsSultan Qaboos UniversityMuscat, Oman$$

关键词: multiplication module;    Dedekind module;    valuation module;    Prufer module;    $m$-canonical submodule.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

All rings are commutative with identity and all modules are unital. Weintroduce and investigate the concepts of generalized Dedekind modules andalmost Dedekind modules. We also characterize faithful multiplicationvaluation modules via m-canonical submodules. Finally, we give someproperties of a lattice of submodules of a faithful multiplication Prufer module.

【 授权许可】

Unknown