![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltext_open_medium.gif)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltext_restricted_medium.gif)
On Modules with Finite Goldie Dimension
Subscribe/Renew Journal
It is proved that (i) if R is a ring with unity and having finite dimension then for an unitary R-module M the conditions: (a) M has finite Goldie dimension and descending chain condition on essential submodules, and (b) M is finitely embedded and M/Scyc (Ai) has descending chain condition on its submodules, are equivalent, and (ii) if every quotient submodule of the R-module R has finite Goldie dimension and the R-module R has descending chain condition on its essential submodules then every R module is either finitely embedded or infinitely embedded.
User
Subscription
Login to verify subscription
Font Size
Information
![](https://i-scholar.in/public/site/images/abstractview.png)
Abstract Views: 186
![](https://i-scholar.in/public/site/images/pdfview.png)
PDF Views: 0